Let g(x) be a vertical stretch of f(x)=3x-2 by a factor of 4. Write the rule for g(x).

Mathematics

1 answer:

Minchanka [31]2 years ago

7 0

This should be g(x) = 12x - 8, as multiplying 3 by 4 increases the slope.

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1) Simplify $\frac{4}{7y}$ to $\frac{4y}{7}$
$\frac{4y}{7}$ −2= $\frac{3}{7}$ + $\frac{3}{14}$

2) Simplify $\frac{3}{7}$ + $\frac{3}{14}$ to 914
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3) Add 2 to both sides
 $\frac{4y}{7}$ = $\frac{9}{14}$ +2

4) Simplify $\frac{9}{14
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$\frac{4y}{7}$ = $\frac{37}{14}$

5) Multiply both sides by 7
4y= $\frac{37}{14}$ ×7

6) Simplify $\frac{37}{14}$ ×7 to $\frac{259}{14}$
$\frac{4y}{7}$ = $\frac{259}{14}$

7) Simplify $\frac{259}{14}$ to $\frac{37}{2}$
$\frac{4y}{7}$ = $\frac{37}{2}$

8) Divide both sides by 4
y= $\frac{37}{2}$ ×4

9) Simplify 2×4 to 8
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Hope this helps

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