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3 years ago

Given the parent function

Mathematics

2 answers:

lozanna [386]3 years ago

7 0

Answer:

Option c is right.

Step-by-step explanation:

Given is a parabola y =x^2

From that transformation is done to get parabola as

y =(0.2x)^2

We find that instead of x here we use 0.2x

i.e. New x = 5 times old x

Hence there is a horizontal expansion of scale factor 5.

We can check with any point also

When y =4, x=2 in the parent graph

But when y =4 , we have x = 10 in the new graph

i.e. there is a horizontal expansion of scale factor 5.

Marianna [84]3 years ago

4 0

<h2>Answer:</h2>

<u>The correct option is </u><u>B Expanded vertically by a factor of 10</u>

<h2>Step-by-step explanation:</h2>

The function is a parabola

If wee see the original graph of parent function is shown as red in the figure attached and the graph of related function is in blue color so we can clearly see that the function is expanded vertically by a factor of 10.

See the attached figure for comparison

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How do you determine a figure’s scale factor?

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3 years ago

Five added to twice Jeff’s age is the same as 3 times his age minus 2. How old is Jeff

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3 years ago

What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b

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Option C: $a=3, b=4$ is the value of a and b

Explanation:

Given that the expression $\sqrt{648}=\sqrt{2^a\times3^b}$

We need to determine the value of a and b

Let us consider the term $\sqrt{648}$ and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

$648=2 \cdot 324$

324 divides by 2,

$648=2 \cdot 2 \cdot 162$

162 divides by 2,

$648=2 \cdot 2 \cdot 2 \cdot 81$

81 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27$

27 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9$

9 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Thus, we have,

$\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}$

Therefore, equating the powers of 2 and 3, we get,

$a=3, b=4$

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Thus, Option C is the correct answer.

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3 years ago

Read 2 more answers

Carmen is simplifying the expression (6. 21 0. 93) 0. 7. She recognizes that 0. 93 and 0. 07 will combine to equal 1, so she wou

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To solve the problem w must know about the Associative property.

<h2>Associative property</h2>

The associative property states that the addition of the sum of two numbers (a,b) and a third number(c) is equal to the addition of the sun of the last two numbers(b, c) and the first number(a).

A+(B+C) = (A+B)+C

The property that will allow Carmen to do this without changing the value of the expression is the Associative property.

<h2>Explanation</h2>

Given to us

(6.21 + 0.93 ) + 0.07

<h3>Associative property.</h3>

Now, using Associative property,

(6.21 + 0.93 ) + 0.07

= 6.21 + (0.93 + 0.07)

=6.21 + (0.93 + 0.07)

Hence, the property that will allow Carmen to do this without changing the value of the expression is the Associative property.

Learn more about Associative property:

brainly.com/question/1680548

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