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expeople1 [14]
3 years ago
5

Let f(x)=6x. The graph of f(x) is transformed into the graph of g(x) by a vertical compression of 1/3 and a translation of 2 uni

ts up.
What is an equation for g(x)?


Enter your answer in the box.
Mathematics
1 answer:
hram777 [196]3 years ago
3 0
K so a translation of 2 units up is just adding 2 to the end of the equation, and a vertical compression of 1/3 means dividing the slope by 3:
so your equation goes from

f(x)=6x (compresses to)
2x (add 2 for the translation)
g(x)=2x+2

Hope this helped.
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Answer:

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Step-by-step explanation:

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HURRYYYYYYYYY!! What is the equation of the quadratic function with a vertex at (2, 25) and an x-intercept at (7,0)?
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Answer:

y=-(x-7)(x+3)

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

y=-(x+3)(x-7) but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is y=a(x-h)^2+k.

This is called vertex form because it gives you the vertex is (h,k).

We are given that (h,k)=(2,25) which makes our equation:

y=a(x-2)^2+25.

We can find the value of a by plugging in the x-intercept (7,0) for (x,y) into:

y=a(x-2)^2+25

0=a(7-2)^2+25

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Subtract 25 on both sides:

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Divide both sides by 25:

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y=-1(x-2)^2+25

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

y=-1(x-2)(x-2)+25

y=-1(x^2-2x-2x+4)+25

y=-1(x^2-4x+4)+25

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Factor out -1:

y=-(x^2-4x-21)

WE need to find two numbers that multiply to be -21 and add to be -4:

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