Algebra-1

To find a quadratic function in factored (intercept) form with x-intercepts at x=−3, we need to use the given information about the intercepts to construct the equation.

Given x-intercepts: x=−3

Since x=−3 is an x-intercept, it implies that (x+3) is a factor of the quadratic function. This is because at x=−3, the function value f(−3)=0.

Now, to find the quadratic function in factored form:

Write down the factor for x=−3: (x+3)

Since we have only one x-intercept given, the other factor must also be (x+3) to satisfy the quadratic equation.

Combine these factors:...