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.

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls