3(x-2)^2 -5 what is the vertex?

2 Answers
Jun 26, 2018

Vertex (2, -5)

Explanation:

#f(x) = 3(x - 2)^2 - 5#
This function is being expressed under the vertex form:
f(x) = a(x - b) + c,
where the coordinates of the vertex are:
x = b = 2, and y = f(2) = c = -5
Vertex (2, -5)

Jun 26, 2018

#"vertex "=(2,-5)#

Explanation:

#"the equation of a parabola in "color(blue)"vertex form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y=a(x-h)^2+k)color(white)(2/2)|)))#

#"where "(h,k)" are the coordinates of the vertex and a"#
#"is a multiplier"#

#3(x-2)^2-5" is in vertex form"#

#"with vertex "=(2,-5)#