Chapter 10: Q 301 (page 1238)

Determine the following parabolas open up or down. $y = x^{2} + 8 x - 1$

Short Answer

Expert verified

The required result is the parabola opens upward .

Step by step solution

Given Information

The given equation is $y = x^{2} + 8 x - 1$

Find the leading coefficient .

Leading coefficient is the coefficient of the term of highest degree in the given polynomial

Here , the leading coefficient is $1$

Determine the sign of the leading coefficient .

If the leading coefficient is greater than zero , the parabola opens upward and if the leading coefficient is less than zero , the parabola opens

downward .

Here , $1 \geq 0$

Therefore , the parabola opens upward .

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Determine the following parabolas open up or down. $y = x^{2} + 8 x - 1$

Short Answer

Step by step solution

Given Information

Find the leading coefficient .

Determine the sign of the leading coefficient .

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Determine the following parabolas open up or down.y=x2+8x-1

Short Answer

Step by step solution

Given Information

Find the leading coefficient .

Determine the sign of the leading coefficient .

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Determine the following parabolas open up or down. $y = x^{2} + 8 x - 1$