2 years ago

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 8

1 answer:

3 0

When you add 8 to the end of a function formula, the graph moves UP 8 units. This is often called either a translation or vertical shift.

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Draw a line segment, line, ray, circle, and point in the space provided. Label them with either AB or A. be sure to include arro

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Work shown above! Hopefully this is what you were looking for

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2 years ago

Paisley's car used 11 gallons to travel 374 miles. How many gallons of gas would she need to travel 442 miles?

katen-ka-za [31]

Answer:

13 gallons

Step-by-step explanation:

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3 years ago

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The difference between the square of two numbers is 11. Twice the square of the first number increased by the square of the seco

jeyben [28]

Answer:

Below in bold.

Step-by-step explanation:

x^2 - y^2 = 11

2x^2 + y^2 = 97

From the first equation:

y^2 = x^2 - 11

Substituting in the second equation:

2x^2 + x^2 - 11 = 97

3x^2 = 108

x^2 = 36

x = 6, -6.

Substituting for x in the first equation:

(6)^2 - y^2 = 11

y^2 = 36 - 11 = 25

y = 5, -5.

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3 years ago

a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.

ANEK [815]

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: $\mathbf{Length = a -5}$ and $\mathbf{Width = a^2 + 5a + 25}$

The area is given as:

$\mathbf{Area = a^3 - 125}$

Express 125 as 5^3

$\mathbf{Area = a^3 - 5^3}$

Apply difference of cubes

$\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}$

$\mathbf{Area = (a - 5)(a^2 + 5a + 25)}$

The area of a rectangle is:

$\mathbf{Area = Length \times Width}$

So, by comparison:

$\mathbf{Length = a -5}$

$\mathbf{Width = a^2 + 5a + 25}$

Read more about areas at:

brainly.com/question/3518080

6 0

2 years ago

Eighty-five more than the square of a number is the same as the square of the quantity that is 17 less than the number. What is

mario62 [17]

We can turn this word problem into the following equation:
x^2 + 85 = (x - 17)^2
x^2 + 85 = x^2 - 34x + 289
-85 -85
_______________________
x^2 = x^2 - 34x + 204
+34x +34x
_______________________
x^2 + 34x = x^2 + 204
-x^2 -x^2
____________________
34x = 204
Divide 34 on both sides
x = 6.
The number is 6.

5 0

3 years ago