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Damm [24]
3 years ago
9

If f(x) = x^2 is vertically stretched by a factor of 3 and shifted down 7 to form g(x), which of the following equations best re

presents the new graph?
Mathematics
2 answers:
kari74 [83]3 years ago
7 0

Answer:

g(x) = 3x² - 7

Step-by-step explanation:

Transformations of Parent Graph: f(x) = a(bx - h)² + k

<em>a</em> is vertical shrink or stretch

<em>b</em> is horizontal shrink or stretch

(<em>h, k</em>) is the vertex

<em>k</em> is vertical movement

We are given that <em>a</em> = 3, <em>k </em>= -7, so simply plug it into the formula:

g(x) = 3(x - 0)² - 7

g(x) = 3x² - 7

pav-90 [236]3 years ago
7 0

Answer:

g(x) = 3x^2-7

Step-by-step explanation:

f(x) = x^2 is vertically stretched by a factor of 3 and shifted down 7 to form g(x)

we have

g(x) = 3x^2-7

3 = vertical stretch factor

-7 = translation downwards 7 units.

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<h2>Answer: 27x + 50 = y, $266</h2>

Step-by-step explanation:

First, let's form a linear equation that will help us find out how much that will cost.

Let's set x = the cubic yards of rocks delivered and y = total cost.

First, we know that the business charges 27 dollars for every x that you buy. That can be shown with a multiplication expression:

27x

Next, we know that the business charges a fixed fee of $50 for their services. This fee would be <em>added on</em> to the amount that they charge for the rocks that you buy.

<h2>27x + 50 = y</h2>

That's our linear expression! Next, we need to find out the <em>total cost</em>, y, when you need 8 cubic yards of rocks delivered, x.

To solve this, we need to substitute values for at least one of our variables.

Since 8 describes the cubic yards of rocks delivered, we can substitute 8 for x.

But we don't know y, the total cost- that's what we're solving for! In other words, we're solving for y.

Let's just substitute in what we know:

27(8) + 50 = y.

216 + 50 = y

<h2>y = 266</h2>

So, we know that it would cost $266 dollars to have 8 cubic yards of rocks delivered to a site.

By the way, you can also graph your linear equation to find the corresponding y-value to 8 as another way to solve your problem.

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