Answer: a) h = 2
b) a =
k = 
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- a is the vertical stretch
- (h, k) is the vertex
The graph shows the axis of symmetry at x = 2, therefore, the x-coordinate of the vertex (h) is 2.
Two points are given:
. We can use these points to create two equations and then solve the system to find the a and k-values.
y = a(x - 2)² + k

Solve for k:


Slope: -2
NOTE: The line perpendicular to line

has a slope

.
So your slope is

- 1 over 2 (Answer a)
Answer:4
Step-by-step explanation:
Answer: x = {1, 2}
<u>Step-by-step explanation:</u>
x⁶ - 9x³ + 8 = 0
Let u = x³
⇒ (x³)² - 9(x³)¹ + 8(x³)⁰ = 0
⇒ u² - 9u + 8 = 0
⇒ (u - 1)(u - 8) = 0
⇒ u = 1 or u = 8
Replace u with x³
x³ = 1 or x³ = 8
Take the cubed root of each side
x = 1 or x = 2