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Damm [24]
3 years ago
9

If f(x) = x^2 is vertically stretched by a factor of 3 and shifted down 7 to form g(x), which of the following equations best re

presents the new graph?
Mathematics
2 answers:
kari74 [83]3 years ago
7 0

Answer:

g(x) = 3x² - 7

Step-by-step explanation:

Transformations of Parent Graph: f(x) = a(bx - h)² + k

<em>a</em> is vertical shrink or stretch

<em>b</em> is horizontal shrink or stretch

(<em>h, k</em>) is the vertex

<em>k</em> is vertical movement

We are given that <em>a</em> = 3, <em>k </em>= -7, so simply plug it into the formula:

g(x) = 3(x - 0)² - 7

g(x) = 3x² - 7

pav-90 [236]3 years ago
7 0

Answer:

g(x) = 3x^2-7

Step-by-step explanation:

f(x) = x^2 is vertically stretched by a factor of 3 and shifted down 7 to form g(x)

we have

g(x) = 3x^2-7

3 = vertical stretch factor

-7 = translation downwards 7 units.

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aleksley [76]

Answer:

I'm not too sure but I think it's 37.7

Step-by-step explanation:

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3 0
3 years ago
the perimeter of a triangle z measures 48 cm . it was dilated with a scale factor of 0.8 to form triangle p . what is the perime
Aliun [14]

Answer:

The perimeter of the p triangle = 38.4 cm

Step-by-step explanation:

Given

The perimeter of a triangle z be = 48 cm

The triangle is dilated by a scale factor of 0.8

To determine

What is the perimeter of the triangle after it is dilated by a scale factor of 0.8?

  • As the scale factor < 1, it means the new perimeter will be reduced.

The new perimeter of the triangle p can be calculated by multiplying the perimeter of the original triangle z by 0.8

i.e.

Perimeter of triangle p = 48 × 0.8 = 38.4 cm

Therefore, the perimeter of the triangle p is = 38.4 cm

4 0
3 years ago
Write a sentence describing the meaning of the statement c(2)=40
aev [14]

Step-by-step explanation:

A number,c times two equal forty.

5 0
3 years ago
Y-7=2y (x-1) write the equation in standard form
Hunter-Best [27]
  In order for an equation to be in standard form, the equation has to be in Ax+By=c form, where A is equal to the coefficient of x and B is equal to the coefficient of y, whereas c is just the constant, or the number in the equation that isn't being multiplied to a variable. In this case, you should first distribute 2y into (x-1), and then you should perform inverse operations on terms on both sides of the equation such that one side of the equation will only have terms with x and y in them and the other side of the equation will only be a numerical value. When the equation is like this, then the equation is in standard form.
4 0
3 years ago
The measure of an angle is 28 degrees less than its supplement. find the supplement
barxatty [35]

Supplementary angles measure 180°. Make an equation:

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Subtract 28 to leave the variable in the parentheses alone:

x+(x+28-28) =180-28 \\ x+x = 152

Add the 2 x's together:

x+x = 2x

Your new equation is:

2x=152

Divide both sides by 2 to leave the variable alone

\frac{2x}{2} = \frac{152}{2}  \\ \\ x = 76

The supplement measures 76°

8 0
4 years ago
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