### Home > CCA2 > Chapter 7 > Lesson 7.2.3 > Problem7-151

7-151.

Consider the equation  $f \left(x\right) = 3\left(x + 4\right)^{2} − 8$.  .

1. Find an equation of a function $g\left(x\right)$ such that $f\left(x\right)$ and $g\left(x\right)$ intersect in only one point.

2. Find an equation of a function $h\left(x\right)$ such that $f\left(x\right)$ and $h\left(x\right)$ intersect in no points.

There are many possibilities here. You could find a horizontal line that doesn't intersect the parabola or an inverted parabola with a locator point in the fourth quadrant or below $y = −8$ in the third quadrant.

Use the eTool below to help solve the problem.
Click the link at right for the full version of the eTool: CCA2 7-151 HW eTool