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Alekssandra [29.7K]
3 years ago
10

Consider the function f(x) = -2x^2 - 7. which of the following functions shifts the graph of f(x) up three units and vertically

shrinks it by a factor of 1/2?
a. g(x) = -x^2 - 10
b. g(x) = -x^2 - 4
c. g(x) = x^2 - 4
d. g(x) = -1/2x^2 - 4
Mathematics
1 answer:
katrin [286]3 years ago
3 0

Answer: The answer is B.

Step-by-step explanation:

James Madison High School

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Step-by-step explanation:

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Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

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