State the equation of the following graphs.
Someone please help ASAP

Answer

y = 1(x +1) - 3

Explanation

A quadratic equation of the form y = ax^2 + bx + c

This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).

This results in y = a(x + p) + q

Where - p is the x value and q is the y value of turning point.

For graph 22, x = -1 and y = -3

Therefore, the equation is of the form

y = a(x + 1) - 3 (*)

We still need the value a, this can be obtained by using the y-intercept we are given.

We are told x = 0 when y = -2

Substitute this in (*) equation:

-2 = a(0+1) - 3

-2 = a - 3

a = 1

Therefore final equation is

y = 1(x +1) - 3

This should provide you with the train of thought of how the second question should also be tackled.

If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond