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olga55 [171]
2 years ago
5

F(x)=x^2. What is g(x)?

Mathematics
1 answer:
Arturiano [62]2 years ago
8 0

Answer:

D

Step-by-step explanation:

Ordenered pairs g(x):

(0,0); (2,2); (- 2,2)

g(x) = ax² + bx + c

(0,0)

a.0² + b.0 + c = 0

c = 0

(2,2)

a.2² + b.2 + c = 2

4a + 2b = 2

(- 2,2)

a.(- 2)² + b.(- 2) + c = 2

4a - 2b = 2

4a + 2b = 4a - 2b

2b + 2b = 0

4b = 0

b = 0

4a + 2b = 2

4a = 2

a = 2/4

a = 1/2

g(x) = 1/2x² + 0x + 0

g(x) = 1/2x²

I hope I've helped you.

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Answer:

  see below

Step-by-step explanation:

I enter the equation into a graphing calculator and let it do the graphing.

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If you're graphing this by hand, you start by looking for the parent function. Here, it is |x|. That has a vertex of (0, 0) and a slope of +1 to the right of the vertex and a slope of -1 to the left of the vertex.

Here, the function is multiplied by -3/2, so will open downward and have slopes of magnitude 3/2 (not 1). The graph has been translated 5 units upward, so the vertex is (0, 5).

I'd start by plotting the vertex point at (0, 5), then identifying points with slope ±3/2 either side of it. To the left, it is left 2 and down 3 to (-2, 2). The points on the right of the vertex are symmetrically located about the y-axis, so one of them will be (2, 2).

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3 years ago
Line with a slope 6 passes through the points (2,-10) and (5,g)
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Answer:

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