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4 years ago

How would the graph of the function y=x2-8 be affected if the function were changed to y=x2-3

Mathematics

1 answer:

ki77a [65]4 years ago

6 0

Answer:

<h2>D) The graph would shift 5 units up.</h2>

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x - n) - shift the graph n units to the right

f(x + n) - shift the graph n units to the left

------------------------------------------------------------------

We have f(x) = x² - 8

f(x) = x² - 8 add 5 to both sides

f(x) + 5 = x² - 3

Therefore your answer is D)

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Suppose the number of dropped footballs for a wide receiver over the course of a season are normally distributed with a mean of

snow_lady [41]

Answer:

The z score for a wide receiver who dropped 13 footballs over the course of a season

Z = - 1.5

Step-by-step explanation:

Explanation:-

Given Population mean ' μ'= 16

Standard deviation of Population 'σ' = 2

Let 'x' be the Random Variable of Normal distribution

Given x = 13 foot balls

The z score for a wide receiver who dropped 13 footballs over the course of a season

$Z = \frac{x-mean}{S.D}$

$Z = \frac{13 -16}{2} = \frac{-3}{2} = -1.5$

Final answer:-

The z score for a wide receiver who dropped 13 footballs over the course of a season

Z = - 1.5

8 0

3 years ago

Multiple choice plz help! Thank u!

Leni [432]

3.7 units

7.4 divided by 2 ((radius is half of a diameter))

7 0

3 years ago

Find |4 + 3i| Please show all your work. . . . . "i" is imaginary number

disa [49]

The answer is 5 |4+3i|=5

5 0

4 years ago

Read 2 more answers

Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4.

grigory [225]

Answer: THIRD OPTION.

Step-by-step explanation:

Since $g(x) = -2f(x)$ , then $g(x)$ is:

$g(x)=-2( x + 4)\\\\g(x)=-2x-8$

In order to find which table represents $g(x) = -2f(x)$ when $f(x) = x + 4$ , you can follow these steps:

1. Substitute $x=1$ into the function $g(x)=-2x-8$ :

$g(1)=-2(1)-8\\\\g(1)=-10$

2. Substitute $x=2$ into the function $g(x)=-2x-8$ :

$g(2)=-2(2)-8\\\\g(2)=-12$

3. Substitute $x=3$ into the function $g(x)=-2x-8$ :

$g(3)=-2(3)-8\\\\g(3)=-14$

Notice that those ouput values (for $x=1,\ x=2$ and $x=3$ ) matches with the table provided in the third option. That table represents $g(x) = -2f(x)$ when $f(x) = x + 4$ :

6 0

3 years ago

Read 2 more answers

Write an equation of a line (in standard form) that has the same slope as the line 3x-5y=7 and the same y-intercept as the line

Vanyuwa [196]

Answer:

$3x-5y=-20$

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have two standard form equations which we will get a slope and a y-intercept from. We will convert each to slope intercept form to get the information. We will then write a new slope-intercept equation and convert to standard form.

3x-5y=7 has the same slope as the line. Let's convert.

$3x-5y=7\\3x-3x-5y=7-3x\\-5y=7-3x\\\frac{-5y}{-5}=\frac{7-3x}{-5} \\$

$y=\frac{3}{5}x -\frac{7}{5}$

The slope is $m=\frac{3}{5}$ .

2y-9x=8 has the same y-intercept as the line. Let's convert.

$2y-9x=8\\2y-9x+9x=8+9x\\2y=8+9x\\\frac{2y}{2}=\frac{8+9x}{2}$

$y=\frac{8}{2}+\frac{9x}{2} \\y=4+\frac{9}{2}x$

The y-intercept is 4.

We take $m=\frac{3}{5}$ and b=4 and substitute into y=mx+b.

$y=\frac{3}{5}x+4$

We now convert to standard form.

$-\frac{3}{5}x+y=\frac{3}{5}x-\frac{3}{5}x+4\\-\frac{3}{5}x+y=4$

For standard form we need the coefficients of x and y to be not zero or fractions. We need integers but the coefficient of x cannot be negative. So we multiply the entire equation by -5 to clear the denominators.

$-5(-\frac{3}{5}x+y=4)\\3x-5y=-20$

3 0

3 years ago