Write the equation of the quadratic function in standard form

Step-by-step explanation:

To write the quadratic in standard form, begin by writing it in vertex form

Where (h,k) is the vertex of the parabola.

Here the vertex is (-3,-1). Substitute and write:

To find a, substitute one point (x,y) from the parabola into the equation and solve for a. Plug in (-2,0) a x-intercept of the parabola.

The vertex form of the equation is .

To write in standard form, convert vertex form through the distributive property.

answer: t=3

step-by-step explanation: