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3 years ago

Given a parent function y=x^3, write a function with the following transformations: right 3, up 2, dilated by a factor of 1/2.

Mathematics

1 answer:

ser-zykov [4K]3 years ago

7 0

Answer:

h(x) = (1/2)(x - 3)^2 + 2

Step-by-step explanation:

Start with y = x^3.

Multiply x^3 by the dilation factor (1/2); this compresses the graph vertically.

Next, replace the x in x^3 with (x - 3). This shifts the graph 3 units to the right.

Last, starting with your g(x) = (1/2)(x - 3)^2, add 2

You will end up with h(x) = (1/2)(x - 3)^2 + 2.

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50 POINTS + BRAINLIEST

BARSIC [14]

slope = rise over run = y/x

A (-1,3) slope = 3/-1 = -3

B (1,2) slope = 2/1 = 2

C (-3,-1) slope = -1/-3 = 1/3

2 lines need to be negative reciprocals in order to be a right triangle

negative reciprocal of -3 is 1/3

so this is a right triangle

3 0

3 years ago

Read 2 more answers

If you are going 35 miles per hour, how many miles would you have driven in 3 hours.

Sergeeva-Olga [200]

Answer: you would have driven 105 miles.

Step-by-step explanation: 35x3 = 105

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3 years ago

Is 6^-2 positive or negative? Explain.

Gnoma [55]

Answer:

It's positive when you have 6^-2 it's the same as having $(\frac{1}{6})^{2} \\$ . So 6^-2 it's 1/36.

Step-by-step explanation:

7 0

3 years ago

Plz guys help i need asap<br> its part b im stuck

aleksklad [387]

Answer:

a.2nd quarter with 9 goals

b. 4.8 goals

c. 4 goals

Step-by-step explanation:

a. The mode is defined as the most appearing data point or the data point with the highest frequency..

From our data(for away goals):

1st quarter-2
2nd quarter-9
3rd quarter-7
4th quarter-4

Hence, the 2nd quarter has the mode for away goals with 9 goals.

b. Mean is defined as the average of a set of data points.

#We calculate the totals goals per quarter, sum over all quarters then divide by the number of games, 10:

$\bar x=\frac{1}{n}\sum{x_i}\\1^{st }_g=Away+Home=5+2=7\\\\2^{nd}_g=Away+Home=4+9=13\\\\3^{rd}_g=Away+Home=8+7=15\\\\4^{th}_g=Away+Home=9+4=13\\\\\bar x=\frac{1}{n}\sum{x_i}=\frac{1}{10}(7+13+15+13)=4.8$

Hence, the mean number of goals per quarter is 4.8 goals

c. To find the number of more home goals than away goals, we subtract from their summations as:

$g_m=\sum{g_h}-\sum{g_a}\\\\=(5+4+8+9)-(2+9+7+4)\\\\=26-22\\\\=4$

Hence, there are 4 more home goals than away goals.

4 0

3 years ago

For a system of linear equations, the solution for the system is__

amm1812

For a system of linear equations, the solution for the system is____.

Answer: The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently. In this example, the ordered pair (4,7) is the solution to the system of linear equations.
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8 0

2 years ago