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What is the y intercept of the quadratic equation f(x)=(x-8)(x+3)?

What is the y intercept of the quadratic equation f(x)=(x-8)(x+3)?-example-1
User Mike Green
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2 Answers

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Ok so the x intercepts would be 8 and - 3 so the only reasonable answer would be A-(8,0)
User Goldenratio
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Answer: (0, -24)

Step-by-step explanation: Remember that f(x) means the same thing as y.

So we can write this as y = (x - 8)(x + 3).

To find the y-intercept, we can first F. O. I. L this problem.

We take the product of the first terms plus the product of the outer terms

plus the product of the inner terms plus the product of the last terms.

So we have x² + 3x - 8x - 24 which simplifies to x² - 5x - 24.

Notice that our equation is in standard form which

is written y = ax² + bx + c where a is not 0.

When an equation is in this form, the c will be the y-intercept.

So our y-intercept is -24.

User Shinelle
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