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Mathematics
02.07.2021 08:13
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Consider the following quadratic equation. f(x) = 9x^2 Part A: Write a function,

Consider the following quadratic equation. f(x) = 9x^2 Part A: Write a function, g(x), the shifts f(x) down by 3 units.
Part B: Write a function, h(x), that vertically stretches f(x) by 6 units.
Part C: Write a function, m(x), that reflects f(x) about the x-axis.
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aljalloh94
aljalloh94
4,7(12 marks)
g(x) = 9x^{2} -3h(x) = 54x^{2}m(x) = -9x^{2}

Explanation:

f(x) = a(x-h)^{2} + k

a:

Determines direction.Negative x reflects over x-axis.a < 1 --> vertically shrunk.a > 1 --> vertically streched.

h:

Determines left and right.Sign of h flips...(x + h) goes left.(x - h) goes right.

k:

Determines up and down.
bradenhale
bradenhale
4,5(1 marks)
-8 Hope this helps :)

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