Graphing Parabolas Precalculus Geometry of a Parabola Graphing Parabolas Key Questions What is the parent graph of a parabola? Answer: The parent graph is #y=x^2# Explanation: Hope that helped Questions What is the graph of the parabola represented by #y=2x^2-8x+9#? What is the parent graph of a parabola? How do I find the axis of the graph of the function #f(x)=4x^2+8x+7#? What is the graph of #f(x)=-2x^2+7x+4#? What is the x-intercept of the graph of #y=x^2-4x+4#? What is the vertex of the graph of #y=x^2+3x-4#? What is the vertex of the graph of #y=2(x-3)^2-7#? What is the vertex of the graph of #y=-(x-2)^2+3#? What is the axis of symmetry of the graph of #y=-(x+3)^2-6#? How do I graph #y=x^2-2x-3#? How do I graph #y=x^2-6x+5#? How do I graph #y=x^2-9#? How do I find the x-intercepts for the graph of #y=x^2+4x-5#? How do I find the x-intercepts for the graph of #y=x^2-3x-4#? How do I find the x-intercepts of the graph of #y=x^2+2x-8#? How do I find the x-intercepts of the graph of #y=x^2-3x-10#? How do you write the standard form of the equation of the parabola with the given focus and vertex at (0,0)? Question #a80a1 How do we find the latus rectum of the parabola #y=2x^2#? Question #60d5b How do you graph #x= - (y-2)^2 + 3#? How do you write the equation of a hyperbola given vertices (-5, 0) and (5, 0) and foci (-7, 0) and (7, 0)? How do you write the equation of a hyperbola given foci at (1, 5) and (7, 5) and with vertices at (2, 5) and (6, 5)? How do you write the equation of a hyperbola given center at the origin (0,0) and satisfies the given conditions: Foci F(0, -5) (0,5) and conjugate axis of length 4? The vertex form of the equation of a parabola is #y=(x+5)^2+49#. What is the standard form of the equation? How do you identity if the equation #y=x^2+3x+1# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #y^2-2x^2-16=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #x^2+y^2=x+2# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #x^2+4y^2+2x-24y+33=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #4x^2+2y^2=8# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #x^2=8y# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #4y^2-x^2+4=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #(x-1)^2-9(y-4)^2=36# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #y+4=(x-2)^2# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #x^2+y^2+4x-6y=-4# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #x^2+y^2+6y+13=40# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #x^2-y^2+8x=16# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #x^2+2y^2=2x+8# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #x^2-8y+y^2+11=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #3x^2+4y^2+8y=8# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #x^2+4y^2-11=2(4y-x)# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #y+x^2=-(8x+23)# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #6x^2-24x-5y^2-10y-11=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #25y^2+9x^2-50y-54x=119# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #x^2+y^2-8x-6y+5=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #3x^2-2y^2+32y-134=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #y^2+18y-2x=-84# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #7x^2-28x+4y^2+8y=-4# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #5x^2+6x-4y=x^2-y^2-2x# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #7x^2-28x+4y^2+8y=-4# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #5x^2+6x-4y=x^2-y^2-2x# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #2x^2+12x+18-y^2=3(2-y^2)+4y# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #2x^2+12x+18-y^2=3(2-y^2)+4y# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #2x^2+3x-4y+2=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identify if the equation #y^2-6y=x^2-8# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #9x^2+4y^2-36=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it? How do you identity if the equation #x^2+y^2-20x+30y-75=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it? Question #d2356 A parabola has a maxima at #(-4,7)# and passes through #(1,1)#. Which is the other point with same ordinate that it passes through? How do you identify the focus, directrix, and axis of symmetry of the parabola and graph the equation #x^2= 40y#? How do you find the vertex, focus, and directrix of the following parabola and graph the equation #y^2-8y+8x+16=0#? Question #75d40 Question #abef5 Draw the graph of #x=y^2+2y+2#? A parabola has a vertex at #(5, 4)# and passes through #(6, 13/4)#. What are the x-intercepts? How do I make a parabola with the function y=1/2x^2 with the values -2, -1, 0, 1, 2? Question #c26b5 Find the coordinates of the vertices and foci, eccentricity? #x^2-8x+2y+7=0# Prove that the paraboloids #x^2/a_1^2+y^2/b_1^2=(2z)/c_1# ; #x^2/a_2^2+y^2/b_2^2=(2z)/c_2#; #x^2/a_3^2+y^2/b_3^2=(2z)/c_3# Have a common tangent plane if? Prove that the paraboloids: #x^2/a_1^2+y^2/b_1^2=(2z)/c_1#; #x^2/a_2^2+y^2/b_2^2=(2z)/c_2#; #x^2/a_3^2+y^2/b_3^2=(2z)/c_3# Have a common tangent plane if: #|(a_1^2 a_2^2 a_3^2), (b_1^2 b_2^2 b_3^2), (c_1 c_2 c_3)|=0#? Question #a3b13 How to solve worded quadratic problems? Question #ab2af Question #48732 Question #46d00 Question #f5a7a Find the equation of a parabola, whose vertex is at #(-3,2)# and passes through #(4,7)#? Question #c1c56 Prove that the midpoint between focus and directrix of a parabola lies on the parabola? Geometry of a Parabola View all chapters Standard Form of the Equation Vertex Form of the Equation Identify Critical Points Graphing Parabolas Prev