Question

Solutions to a quadratic equation -7 and 1 what is the equation of its axis of symmetry

Answer 1

Given the roots to be -7 and 1.

Step 1: Equate the roots to x

Hence, the first equation will be

`x=-7`

and the second is

`x=1`

Step 2: Make both expressions be equal to zero

Hence, we have

`x+7=0`

and

`x-1=0`

Step 3: Multiply both roots

Hence

`\begin{gathered} (x+7)*(x-1) \\ \text{Expanding} \\ x^2+7x-x-7 \\ x^2+6x-7 \end{gathered}`

Step 4: The expression gotten from Step 3 should be equated to y.

Hence,

`y=x^2+6x-7`

Therefore,