What is the correct standard form of the equation of the parabola? Enter your answer below. Be sure to show each step of your work.

Step-by-step explanation:

Let the vertex form of parabola is given by,

y = a(x - h)² + k

Here, (h, k) is the vertex.

From the figure attached,

Vertex of the parabola = (2, -5)

Therefore, equation of the parabola will be,

y = a(x - 2)² - 5

For the value of a,

Parabola passes through a point (0, -4),

-4 = a(0 - 2)² - 5

-4 = 4a - 5

4a = 1

a =

Equation of the parabola will be,

table 1

step-by-step explanation:

1-16

2-32

4-64

8-128

all multiples of 16

step-by-step explanation: