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Chapter 11: TRY IT : : 9.91 (page 1069)

Find the intercepts of the parabola whose function is f(x)=3x2+4x+4.

Short Answer

Expert verified
  • The y-intercept at the point (0, 4).
  • There are no x-intercepts.

Step by step solution

01

Step 1. To find the y-intercept, let x = 0 andsolve for f (x) .

f(x)=3x2+4x+4f(0)=3(0)2+4(0)+4f(0)=4

When x = 0 , then f (0) = 4 .

The y-intercept at the point (0, 4) .

02

Step 2. To find the x-intercept, let f (x) = 0 andsolve for x .

f(x)=3x2+4x+40=3x2+4x+4

Solve by using quadratic formula:

a=3,b=4,c=4x=-b卤b2-4ac2ax=-(4)卤42-4(3)(4)2(3)x=-4卤16-486x=-4卤-326

Since the value of the discriminant is negative, there is no real solution to the

equation. Hence there are no x-intercept points.

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