y=(x-2)(x+8) The given equation represents a parabola in the xy-plane. Which of the following equivalent forms of the equation displays the y intercept of the parabola as a constant or coefficient? Choose 1 answer: (A) y=x^(2)+6x-16 (B) y=(x+3)^(2)-25 (c) y+24=(x+2)(x+4) (D) y+25=(x+3)^(2)

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y=(x-2)(x+8) The given equation represents a parabola in the  xy-plane. Which of the following equivalent forms of the equation displays the  y intercept of the parabola as a constant or coefficient? Choose 1 answer: (A)  y=x^(2)+6x-16 (B)  y=(x+3)^(2)-25 (c)  y+24=(x+2)(x+4) (D)  y+25=(x+3)^(2)

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Expand quadratic equation: Expand the given quadratic equation to find the y-intercept. The y-intercept occurs when x = 0. To find the y-intercept in the equation, we need to have the equation in standard form, which is y = ax^2 + bx + c, where c is the y-intercept. y = (x - 2)(x + 8) y = x^2 + 8x - 2x - 16 y = x^2 + 6x - 16Compare with answer choices: Compare the expanded form with the answer choices. We have found that the expanded form of the given equation is y = x^2 + 6x - 16. Now we need to compare this with the answer choices to see which one matches and shows the y-intercept as a constant or coefficient. (A) y = x^2 + 6x - 16 (B) y = (x + 3)^2 - 25 (C) y + 24 = (x + 2)(x + 4) (D) y + 25 = (x + 3)^2Identify correct answer: Identify the correct answer choice. The correct answer choice will be the one that matches the expanded form we found in Step 1 and clearly shows the y-intercept as a constant or coefficient. From the answer choices, we can see that choice (A) matches our expanded form and displays the y-intercept (-16) as a constant.

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