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Damm [24]
2 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]2 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]2 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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Hareb is saving money to buy a game so far he saved 24$ which is two thirds of the total cost of the game does the game cost
Tamiku [17]

Answer:

$36

Step-by-step explanation:

24/2=12

12*3=36

7 0
3 years ago
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The baseball stadium holds 23,564 people. 3/4 of the seats were sold. How many people were in the stadium
Dennis_Churaev [7]

capacity of the stadium=23564

no.of seats occupied=3/4 of 23564

no.of people in the stadium=23564*3/4

=17673


3 0
3 years ago
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What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the seg
GrogVix [38]

Answer:

(0, -4)

Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)

Therefore, the required point is located as follows;

\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)

The coordinates of the point is (0, -4)

6 0
3 years ago
Find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle: 52pi/5
Ludmilka [50]
We know that
Two angles are said to be co-terminal <span>if they have the same initial side and </span>
<span>the same terminal side. 
</span>
(52π/5)-----> 10.4π<span>
so
</span>(52π/5)-5*2π------> (2π/5)

the answer is
the positive angle less than one revolution around the unit circle that is co-terminal with angle of 52π/5 is 2π/5

7 0
3 years ago
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Are these answers correct?
Nikolay [14]

Answer:

You're correct.

Step-by-step explanation:

3 0
2 years ago
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