Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 3 units.
The graph of f(x) = x2 is shifted up 30 units.
The graph of f(x) = x2 is reflected over the x-axis.

Answers

Answer 1

Answer: Changing g(x) to this form: a(x-h) + k, we have:
g(x) = 4 (x+3)^2 - 6

Comparing this to the original equation, f(x) = x^2, we have the following transformations:

The graph is widened.
The graph is shifted left 3 units.

Answer 2

Answer:

Using translation concepts, it is found that the correct option is given by:

The graph of f(x) = x² is shifted left 3 units.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that the original function is:

f(x) = x².

The translated function is:

g(x) = 4x² + 24x + 30.

Factoring it we have that:

g(x) = 4(x² + 6x + 7.5) = 4[(x + 3)² - 1.5].

Since x -> x + 3, the function was shifted left 3 units.

More can be learned about translation concepts at brainly.com/question/4521517

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Look at the linear equation below.2x - 3y = -13Which pair of numbers is a solution to the equation?Select one:(-5, 1)(5, 1)(5, -1)(-5, -1)

Solve for x.

4x + 5 = 25

Answers

The value of x of equation 4x + 5 = 25 is 5.

What is linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

Given,

4x + 5 = 25

First subtract 5 from both sides,

4x + 5-5 = 25-5

4x=20

Now divide both sides by 4,

x=5

Hence, the value of x of equation 4x + 5 = 25 is 5.

Learn more about linear equation

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First subtract 5 from both sides.
4x=20
Now divide both sides by 4.
x=5

A line has slope –5(over)3 . Through which two points could this line pass? (1 point)(12, 13), (17, 10)
(16, 15), (13, 10)
(0, 7), (3, 10)
(11, 13), (8, 18)

Answers

The points of the line that has a slope of -5 over 3 is (11,13) (8, 18). This can be computed using the formula of finding the slope of a line which m = y2-y2 over x2-x1. This is computed as follows:

m = 18-13 over 8 - 11
m= 5 over -3 or simplified to m= -5 over 3

Answer: Rate of Change and Slope Quick Check

C. -1/3

D. (11,13) (8,18)

B. -2

D. Undefined

D. 55/1

Step-by-step explanation:

Pls help me on this function math question

Answers

the answer would be option C :)

Answer:

Second diagram

Step-by-step explanation:

Basically, for any of these options to be functions, each value in the domain must correspond to only one value in the range. So any option that has a value in the domain section with arrows pointing to multiple values in the range section is not a function, and not our answer. We must look for the option where there is only one range value for each domain value. So our answer is the second option.

The sign of a positive number divided by a negative number is always: A) Positive B) Negative C) Zero D) Undefined

Answers

Answer:

B) negative

Step-by-step explanation:

The sign of a positive number divided by a negative number is always negative.

E.g:

5 ÷ (-4) = -1.25

_______

hope this helps!

Write the expression as a power with the base of 3 and find its value in the table of cubes 27·243

Answer:

27 · 243 = 3

=

Answers

Answer:

3^8 and 6,561

Step-by-step explanation:

1) Calculate, 3 to the power of what is 27?

Make a table of all of 3's powers until 10. i.e. 3^1 = 3, 3^2 = 9 ......

You will find that 3^3 = 27 and 3^5 is 243

3) Use the formula x^m * x^n = x^m+n and substitue our value.

It should look like this: 3^3 * 3^5 = 3^3+5 = 3^8

4) Make a table as described in step 2 and calculate all of 3's powers up to 10. Look at your table and you will find that 3^8 is equal to 6,561

5) The expression written as a power is

3^8 and

the value: 6,561

Enjoy :)

120 pupils went on a feildtrip . 55% of the pupils were girls and the rest were boys. How many boys went on the trip?

Answers

Answer:

number of boys are 54. ...

Answer:

54 boys went in the trip

Step-by-step explanation:

55% of 120 is 66 and 66 minus 120 is 55

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Which information is needed to show that a parallelogram is a rectangle?

Graph the equation. y-4=1/4(x-1)²

Rewrite the equation to represent the remaining values on the hanger diagram.