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Strike441 [17]
3 years ago
10

if you horizontally stretch the quadratic parent function , f(x)=x^2, by factor of 4, what is the equation of the new function?

Mathematics
1 answer:
lawyer [7]3 years ago
7 0

You replace the x by (1/4 x) so the required equation is:-

y = (1/4 x)^2

y =  1/16 x^2   (answer)

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3 years ago
For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm
Paraphin [41]

The ratio of the area of the <u>first figure</u> to the area of the <u>second figure</u> is 4:1

<h3>Ratio of the areas of similar figures </h3>

From the question, we are to determine the ratio of the area of the<u> first figure</u> to the area of the <u>second figure</u>

<u />

The two figures are similar

From one of the theorems for similar polygons, we have that

If the scale factor of the sides of <u>two similar polygons</u> is m/n then the ratio of the areas is (m/n)²

Let the base length of the first figure be ,m = 14 mm

and the base length of the second figure be, n = 7 mm

∴ The ratio of their areas will be

(\frac{14 \ mm}{7 \ mm})^{2}

= \frac{196 \ mm^{2} }{49\ mm^{2} }

=\frac{4}{1}

= 4:1

Hence, the ratio of the area of the <u>first figure</u> to the area of the <u>second figure</u> is 4:1

Learn more on Ratio of the areas of similar figures here: brainly.com/question/11920446

8 0
2 years ago
The width of a rectangle is the length minus 2 units. The area of the rectangle is 63
Damm [24]

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Step-by-step explanation:

7

3 0
3 years ago
Kim deposited $1,422 into a savings account. After 5 years, she had a total of $1,635.30 in her account. What is the interest ra
elena-14-01-66 [18.8K]

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Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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Neporo4naja [7]

Answer:

y= -4

Step-by-step explanation:

simplify both sides of the equasion

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and your answer is y= -4

7 0
3 years ago
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