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1 year ago

I really need help with this can somebody help me ?

Mathematics

1 answer:

Mama L [17]1 year ago

6 0

<em>Answer</em>

a. Vertical shrink by a factor of 1/3

<em>Step-by-step explanation</em>

Function transformation

• a,f(x) vertically compresses f(x) when 0 < a < 1

Given the function:

$f(x)=x^2$

Multiplying f(x) by a = 1/3, we get:

$\frac{1}{3}f(x)=\frac{1}{3}x^2=h(x)$

Then, f(x) is vertically shrunk by a factor of 1/3

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Your friend says "Multiplying a number by 5 is a 500% increase" Describe and correct the error in your friend's reasoning.

telo118 [61]

An increase is adding, not multiplying. they meant that 5 times a number is 500% of something. it would be a 400% increase as one plus four is five.

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3 years ago

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3 years ago

Given that f(x) = x2 + 2x + 3 and g(x) = quantity of x plus four, over three , solve for f(g(x)) when x = 2.

Sidana [21]

$f(x)=x^2+2x+3$
$g(x)=\frac{x+4}{3}$
$f(g(x))=(\frac{x+4}{3})^2+2(\frac{x+4}{3})+3$
$f(g(x))=\frac{x^2+8x+16}{9}+\frac{2x+8}{3}+3$
$f(g(2))=\frac{2^2+8(2)+16}{9}+\frac{2(2)+8}{3}+3$
$f(g(2))+\frac{4+16+16}{9}+\frac{4+8}{3}+3$
$f(g(2))=\frac{36}{9}+\frac{12}{3}+3$
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$f(g(2)=11$

Check:
g(2)=(2+4)/3=2
f(2)=2^2+2(2)+3=4+4+3=11 Checks.

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3 years ago

Read 2 more answers

Justify each step in solving the equation -3(2x-3)=25-8x by writing a reason for each statement.

Mice21 [21]

Answer: x= 8.

Step-by-step explanation: Given equation -3(2x-3)=25-8x.

Step 1: We have -3 in front of (2x-3). We always simplify a parenthesis first.

Therefore, applying Distributive property in first step, we get

-6x +9 = 25-8x.

Step 2: We need to get rid 9 from left side to get constant numbers on right side.

9 is being added on left side.

So, we would apply reverse operation of addition.

Therefore, applying Subtraction property of equality, we get

-6x +9-9 = 25-8x-9

-6x =16 -8x.

Step 3: We need to get rid 8x from right side.

The reverse operation of subtraction is addition.

Therefore, applying Addition property of equality, we get

-6x+8x =16 -8x+8x

2x = 16.

Step 4: We need to isolate it for x.

So, applying Division property of equality, we get

$\frac{2x}{2}=\frac{16}{2}$

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3 years ago

What is the discriminant of the polynomial below 9x^2-18x+9?

harkovskaia [24]

(3x-3 )(3x-3 ) is answee

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3 years ago