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

8-151.

Consider the equation

*f*(*x*) = 3(*x*+ 4)^{2}− 8. Homework Help ✎Find an equation of a function

*g*(*x*) such that*f*(*x*) and*g*(*x*) intersect in only one point.Find an equation of a function

*h*(*x*) such that*f*(*x*) and*h*(*x*) 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.

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