Q. 98 - Precalculus Enhanced with Graphing Utilities

Question

Make up a quadratic function that opens down and has only one x-intercept. Compare yours with others in the class. What are the similarities? What are the differences?

Step-by-Step Solution

Answer

The function can be given as $f\left(x\right)=-{(x-2)}^2$

The graph can be given as 

Step 1: Given information

We are given a quadratic equation who opens downwards

Step 2: Plot the graph

The quadratic equation which opens downward and with one x-intercept is $f\left(x\right)=-{(x-2)}^2$

The graph can be given as