Can someone please help me with this??Find the equation for the following parabola ( Parabolas) !

The equation of the parabola is (x - 2)² = 16(y + 1) ⇒ D

Step-by-step explanation:

The standard form of the equation of the parabola is

(x - h)²  = 4p(y - k), where

∵ The vertex of the parabola is (2, -1)

→ By using the notes above

∴ h = 2

∴ k = -1

∵ Its focus is (2, 3)

→ By comparing it with the notes above

∴ h = 2

∴ k + p = 3

∵ k = -1

→ Substitute it in the equation above

∴ -1 + p = 3

→ Add 1 to both sides

∵ -1 + 1 + p = 3 + 1

∴ p = 4

→ Substitute the value of h, k, p in the form of the equation above

∵ (x - 2)² = 4(4)(y - -1)

→ Remember (-)(-) = (+)

∴ (x - 2)² = 16(y + 1)

∴ The equation of the parabola is (x - 2)² = 16(y + 1)

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

nada

step-by-step explanation: