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Ray Of Light [21]
3 years ago
15

Suppose that F(x) = x2 and G(x) = -1/4(x+7)^2 . Which statement best compares the graph of G(x) with the graph of F(x)?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

F(x) = x^2

G(x) = -1/4 (x+7)^2

7 is added to x , so graph shifts left by 7 units

multiplied by negative , so reflected over x axis

and multiplied by 1/4 so vertical compression by a factor of 1/4

So graph of g(x) is shifted left by 7 units , reflected over x axis and compressed vertically by a factor of 1/4

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2. Think of the top and middle shelves as two lines cut by a transversal. What type of angles are
nadya68 [22]

Answer:

Angles 1 and 5 are corresponding angles.

Step-by-step explanation:

These are the different types of angles formed by a transversal:

1. Corresponding angles are angles that lie on the <em>same side</em> of the transversal line. Angles 1, 3, 5, 6, 9, and 11 are corresponding angles because they are all on the left side of the transversal (the line that cuts through the other lines). Angles 2, 4, 6, 8, 10, and 12 are corresponding angles because they are all on the right side of the transversal.

2. Alternate interior angles are angles that are nonadjacent angles that lie on opposite sides of the transversal and in between the horizontal lines. Here the alternate interior angles are 3 and 6, 4 and 5, 7 and 10, and 8 and 9.

3. Alternate exterior angles are those that are nonadjacent and lie on the outside of the horizontal lines. In this diagram, angles 1 and 12 and angles 2 and 11 are alternate exterior.

4. Same-side interior angles are angles that lie on the same side of the transversal and in between the horizontal lines. The same-side interior angles in this diagram are angles 3 and 5, 7 and 9, 4 and 6, and 8 and 10.

5 0
3 years ago
WILL GIVE BRAINIEST ANSWER IF ANSWER IS CORRECT
IRISSAK [1]
F(x) = x+4
f(4) = 8, f(5) = 9
Change = 1

f(x) = 3x-7
f(-3) = -16, f(5) = 8
Change = 24/8 = 3

f(x) = 9x+1
f(-5) = -44, f(-2) = -17
Change = 27/3 = 9

f(x) = 2x+9
f(1) = 11, f(2) = 13
Change = 2

In order: f(x) = 9x+1, f(x) = 3x-7, f(x) = 2x+9, f(x) = x+4
4 0
3 years ago
Read 2 more answers
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harkovskaia [24]

Answer:

Answer choice B

Step-by-step explanation:

When you factor the equation, 12 only has 6x2 to equal the -12x. This means that you'll factor it into (3x-6)(x-2). When you set either of these equal to 0, the x value is 2.

8 0
4 years ago
If we transform y=x^2 by 5 units to the left and 8 units ups, what is the vertex of the resulting parabola?
sertanlavr [38]

Answer: y = (x + 5)² + 8

<u>Step-by-step explanation:</u>

y = x²

left 5 units:       y = (x + 5)²

up 8 units:        y = (x + 5)² + 8

7 0
4 years ago
Read 2 more answers
Suppose that a population parameter is 0.3 and many samples are taken from the population. If the size of each sample is 40, wha
scoundrel [369]

Answer:

0.072

Step-by-step explanation:

A P E X

7 0
3 years ago
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