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Chapter 9: Q. 236 (page 944)

For each of the following exercises, determine if the parabola opens up or down.

a)f(x)=x2+3x-4b)f(x)=-4x2-12x-9

Short Answer

Expert verified

Part (a) The parabola of the given function opens up.

Part (b) The parabola of the given function opens down.

Step by step solution

01

Step 1. Given information.

The given functions are,

a)f(x)=x2+3x-4b)f(x)=-4x2-12x-9

02

Step 2. Solving part (a).

Consider the given function,

f(x)=x2+3x-4

On comparing with the standard form we get,

f(x)=ax2+bx+ca=1

Here a>0,

Therefore, the parabola of the given function opens up.

03

Step 3. Solving part (b).

Consider the given function,

f(x)=-4x2-12x-9

On comparing with the standard form we get,

f(x)=ax2+bx+ca=-4

Here a<0,

Therefore, the parabola of the given function opens down.

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