What is the axis of symmetry and vertex for the graph y = 2(x – 4)^2 + 7?

1 Answer
May 2, 2018

:. x = 4

:. (4,7)

Explanation:

The answers can be found through the equation itself.

y = a(x-b)^2+c

For axis of symmetry, you just need to look at the terms inside the bracket once you have factorized the equation to its basic state.

A.O.S
=> (x-4)

:. x = 4

For the point of vertex, which can be a minimum point or a maximum point which can be told by the value of a

-a = maximum point ; a = minimum point

The value of c in your equation actually represents the y-coordinate of your highest/lowest point.

Thus, your y-coordinate is 7

Point of vertex? Combine the value of your axis of symmetry with your c value. This is because the axis of symmetry is always in the middle of the curve, therefore it is also the highest/lowest point of your curve.

:. (4,7)