### Home > A2C > Chapter 8 > Lesson 8.2.3 > Problem8-151

8-151.

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: A2C 8-151 HW eTool