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Chapter 9: Q. 243 (page 944)

In the following exercises, find the intercepts of the parabola whose function is given.

f(x)=x2+8x+12

Short Answer

Expert verified

The y-intercept is 0,12and the x-intercepts are -6,0and-2,0.

Step by step solution

01

Step 1. Given information.

The given expression is,

f(x)=x2+8x+12.

02

Step 2. Finding x-intercept.

Now, to find the x-intercept we have to solve the given equation equal to zero then we get

f(x)=0x2+8x+12=0x+2x+6=0x=-6,-2

Therefore, the x-intercepts are -6,0and -2,0.

03

Step 3. Finding y-intercept.

Now, to find the y-intercept put x=0, in the given equation then,

f(0)=02+80+12=0+0+12=12

Therefore, the y-intercept is 0,12.

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