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?

Short answer

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

The graph can be given as

Step-by-step solution

Given information

We are given a quadratic equation who opens downwards

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