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Vinvika [58]
2 years ago
7

If you shift the quadratic parent function, f(x) = x2, left 12 units, what is the equation of the new function? A.g(x) = (x + 12

)2 B.g(x) = (x – 12)2 C.g(x) = x2 – 12 D.g(x) = x2 + 12
Mathematics
1 answer:
timama [110]2 years ago
7 0

Answer:  The correct option is (A). g(x)=(x+12)^2.

Step-by-step explanation:  Given that the equation of the quadratic parent function is

f(x)=x^2~~~~~~~~~~~~~~~~~~~~~~~~``(i)

We are to find the equation of the new function after shifting the parent function (i) 12 units left.

Since we are shifting 12 units left, so there is a horizontal translation in the X-axis.

And the x co-ordinate becomes (x+12).

Therefore, the equation of the new function will be

g(x)=(x+12)^2.

Thus, the required equation of the new function is g(x)=(x+12)^2.

Option (A) is correct.

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Answer:

The answer to your question is letter B

Step-by-step explanation:

Process

1.- Find two points of each line

Line A    (-2, 0)   (-1, 2)

Line B    (-1. - 5)   (-6, 0)

2.- Find the slope and equation of each line

Line A

             m = \frac{2 - 0}{-1 + 2}

             m = \frac{2}{1}

                    m = 2

             y - 0 = 2(x + 2)

            y = 2x + 4

Line B

             m = \frac{0 + 5}{-6 + 1}

             m = \frac{5}{-5}

                    m = -1

             y - 0 = -1(x + 6)

             y = -x - 6

3.- Find the inequalities

Line A, we are interesteed in the lower area of the line, so the inequality is

                      y ≤ 2x + 4

Line B, we are also interested in the lower area of the line so the inequality is

                      y ≥ - x - 6

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