Question

Write the equation for the parabola with vertex (1,6) and x intercepts (3,0) and (-2,0)

Answer 1

The x-intercepts of the parabola are (3,0) and (-2,0)

Knowing the roots of the quadratic formula you can express the factorized form:

`f(x)=(x-3)(x+2)`

Next, solve the multiplication of the parentheses terms by multiplying each term of the first parentheses by each term of the second parentheses

`\begin{gathered} f(x)=(x\cdot x)+(x\cdot2)+(-3\cdot x)+(-3\cdot2) \\ f(x)=x^2+2x-3x-6 \\ f(x)=x^2-x-6 \end{gathered}`