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

step-by-step explanation:

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.