Question

Find the vertex.
f(x) = 6(x + 5)2-10

Answer 1

Vertex: (-5, -10)

Explanation:

Parent graph: f(x) = a(bx - c)ⁿ + d

a = vertical shrink/stretch

b = horizontal shrink/stretch

c = horizontal movement left/right

d = vertical movement up/down

(c, d) is vertex

Step 1: Define function

f(x) = 6(x + 5)² - 10

Step 2: Define transformation

a = 6, Vertical stretch of 6

b = 1, No horizontal transformation

c = -5, move left 5 units.

d = -10, move down 5 units.

(-5, -10), vertex