Answer:
Step-by-step explanation:
The complete question in the attached figure
we have
we know that
(ab)(x) is equal to the product of a(x) and b(x)
so
Applying distributive property
This is a quadratic equation
The other expressions not produce a quadratic equation
Hey!
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a. Has a vertical axis of symmetry.
Answers: B and D
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b. Has a horizontal axis of symmetry.
Answers: D and E
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c. Passes through exactly one quadrant.
Answers: A and D
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d. Passes through all 4 quadrants.
Answers: B and F
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Hope This Helped! Good Luck!
According to the function transformations, the value of h is -2
<h3>How to determine the value of h?</h3>
The complete question is in the attachment
The functions are given as:
From the question, we understand that the function f(x) is translated to the left to get g(x)
From the attached graph, we can see that the function h(x) is 2 units to the left of f(x).
This transformation is represented by:
(x, y) => (x + 2, y)
So, we have:
x - h = x + 2
Evaluate the like terms
h = -2
Hence, the value of h is -2
Read more about function transformations at:
brainly.com/question/3381225
#SPJ1
Answer:
m<4 = 52°
m<BFD = 98°
Step-by-step explanation:
m<1 = (3x)°
m<2 = (5x - 7)°
m<3 = (4x + 15)°
m<AFD = 128°
✔️Find m<4:
m<4 = 180° - m<AFD (angles on a straight line)
Substitute
m<4 = 180° - 128°
m<4 = 52°
✔️m<BFD = m<2 + m<3
Substitute
m<BFD = (5x - 7)° + (4x + 15)°
We need to find the value of x.
Create an equation to find x.
m<1 + m<2 + m<3 = m<AFD (angle addition postulate)
Substitute
3x + 5x - 7 + 4x + 15 = 128°
Add like terms and solve for x
12x + 8 = 128
12x + 8 - 8 = 128 - 8
12x = 120
12x/12 = 120/12
x = 10
m<BFD = (5x - 7)° + (4x + 15)°
Plug in the value of x
m<BFD = 5(10) - 7 + 4(10) + 15
m<BFD = 50 - 7 + 40 + 15
m<BFD = 98°
