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murzikaleks [220]
3 years ago
14

The function g(x) = –x^2 + 16x – 44 written in vertex form is g(x) = –(x – 8)^2 + 20. Which is one of the transformations applie

d to the graph of f(x) = x^2 to change it into the graph of g(x) = –x^2 + 16x – 44?
a.The graph of f(x)= x^2 is widened
b.The graph of f(x)=x^2 is shifted left 8 units
c.The graph of f(x)=x^2 is shifted down 44 units
d.The graph of f(x)=x^2 is reflected over the x-axis
d.The graph of f(x)=x^2
Mathematics
1 answer:
Alexxandr [17]3 years ago
6 0
<span>a.The graph of f(x)= x^2 is widened</span>
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Licemer1 [7]
I'm assuming you mean

2\times\frac{17}{10}

Write the 2 as a fraction 2/1 and multiply.

\frac{2}{1}\times\frac{17}{10}=\frac{34}{10}=\frac{17}{5}


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How do you find the area of a square
Lubov Fominskaja [6]

Answer:

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Step-by-step explanation:


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3 years ago
5 more than the product of 4 and some number is equal to 33
gregori [183]

Answer:

33 = 4x + 5

Step-by-step explanation:

If you convert this expression into numbers, it would be 4 times the number x plus 5 is equal to 33.

Hopefully this helps! Let me know if you have any questions!

8 0
2 years ago
Read 2 more answers
Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12
Inessa05 [86]

Answer:

The solution of the equations are -6 and 1

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- We want to find the solution of the equation (x + 2) (x + 3) = 12

- <em>At first lets use the Foil method to multiply the two brackets</em>

 (x + 2) (x + 3) = (x)(x) + (x)(3) + (2)(x) + (2)(3)

 (x + 2) (x + 3) = x² + 3x + 2x + 6 ⇒ add the like term

 (x + 2) (x + 3) = x² + 5x + 6

∵ (x + 2) (x + 3) = 12

∴ x² + 5x + 6 = 12

- Subtract 12 from both sides

∴ x² + 5x - 6 = 0

- <em>Factorize the left hand side</em>

∵ x² = (x)(x)

∵ -6 = 6 × -1

∵ 6x + -1x = 5x

∴ (x + 6)(x - 1) = 0

- <em>Lets use the zero product property </em>

∵ (x + 6)(x - 1) = 0

∴ x + 6 = 0 ⇒ <em>OR</em> ⇒ x - 1 = 0

∵ x + 6 = 0

- Subtract 6 from both sides

∴ x = -6

∵ x - 1 = 0

- Add 1 to both sides

∴ x = 1

∴ The solution of the equations are -6 and 1

6 0
2 years ago
Read 2 more answers
The target temperature for a laboratory is 72° Fahrenheit. It
myrzilka [38]

The inequality |t - 72| ≤ 2 represents the target temperature for a laboratory is 72° Fahrenheit, and it can vary by up to 2° option (D) is correct.

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

The question is incomplete.

The complete question is in the picture, please find the attached picture.

We have:

The target temperature for a laboratory is 72° Fahrenheit. It can vary by up to 2°.

Target temperature = 72 degree Fahrenheit

It can vary by up to 2°. (the highest limit)

The temperature in the laboratory represented by t

Now,

inequality represents this situation is:

|t - 72| ≤ 2

Thus, the inequality |t - 72| ≤ 2 represents the target temperature for a laboratory is 72° Fahrenheit, and it can vary by up to 2° option (D) is correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

6 0
1 year ago
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