Look at picture
write the equation in vertex form and standard form.

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 2, 2), thus

y = a(x + 2)² + 2

To find a substitute the point on the graph (0, 0) into the equation

0 = a(0 + 2)² + 2

0 = 4a + 2 ( subtract 2 from both sides )

- 2 = 4a ( divide both sides by 4 )

- = a

y = - (x + 2)² + 2 ← in vertex form

Expanding and simplifying gives

y = - (x² + 4x + 4) + 2

  = - x² - 2x - 2 + 2

  = - x² - 2x ← in standard form

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph