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.
Click the link at right for the full version of the eTool: A2C 8-151 HW eTool