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