Question

Write your own equation of a quadratic function that meets the following criteria. wider than the parent function has a maximum and has zeros (X-intercepts) at (-3, 0) and (7, 0)

Answer 1

Step 1: Concept

`\begin{gathered} \text{from} \\ x\text{ = - 3 and x = 7} \\ (x+\text{ 3) (x - 7) = 0} \\ x^2\text{ - 7x + 3x - 21 = 0} \end{gathered}`
`x^2-4x\text{ - 21 = 0}`

Since it has a maximum

You multiply by negative

Then we have

`-x^2\text{ + 4x + 21 = 0}`