SOLUTION: y=2(x-4)^2-2 a. sketch the graph b. Label the intercepts and vertex c. Give exact values and show your work

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Question 199002: y=2(x-4)^2-2
a. sketch the graph
b. Label the intercepts and vertex
c. Give exact values and show your work
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y=2(x-4)^2-2
a. sketch the graph
Vertex at (4,-2)and opening up.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2%28x-4%29%5E2-2%29
b. Label the intercepts and vertex
x-intercepts:
Let y = 0, then 2(x-4)^2 = 2
(x-4)^2 = 1
x^2 - 8x + 16 = 1
x^2 - 8x + 15 = 0
(x-3)(x-5) = 0
x = 3 or x = 5
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y-intercept
Let x = 0, then y = 2(-4)^2 -2 = 30
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c. Give exact values and show your work
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Cheers,
Stan H.