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Evgen [1.6K]
2 years ago
10

Given g(x) = 1/4(15 - x)^2 what is the value of g(7)?

Mathematics
1 answer:
AleksandrR [38]2 years ago
8 0

Answer:

16

Step-by-step explanation:

Substitute (7) into the equation.

y= 1/4(15-(7))^2

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The graph of y=tan(x) is vertically stretched by a factor of 7, shifted a distance of 12 units to the left, reflected across the
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Step-by-step explanation:

A transformation(s) of a parent function is

f(x) = a(bx - c) + d

where a is vertical compression/stretched or reflection

B is horinzotnal compression/stretch or reflection

C is horinzontal translation

D is vertical translation.

The parent function is

y =  \tan(x)

First, we stretched this by 7

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y = 7 \tan(x)

We need to shift this 12 units to the left so we have

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We need to reflect this across x axis so we get

y =  - 7 \tan(x + 12)

We need to shift this downwards 15 so we get

y =  - 7 \tan(x + 12)  - 15

or because tan is a odd function you could say

7 \tan( - (x + 12) ) - 15

7 \tan( - x  - 12)  - 15

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