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Chapter 9: Q. 244 (page 944)

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

f(x)=x2+5x+6

Short Answer

Expert verified

The y-intercept is 0,6and the x-intercepts are -2,0and -3,0.

Step by step solution

01

Step 1. Given information.

The given expression is,

f(x)=x2+5x+6.

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+5x+6=0x+2x+3=0x=-2,-3

Therefore, the x-intercepts are -2,0and -3,0.

03

Step 3. Finding y-intercept.

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

f(0)=02+50+6=0+0+6=6

Therefore, the y-intercept is 0,6.

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