Question

And could someone please help me with this one please

Answer 1

Answer:

C

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) = (5, 2), thus

y = a(x - 5)² + 2

To find a substitute (4, - 3) into the equation

- 3 = a + 2 ⇒ a = - 3 - 2 = - 5

y = - 5(x - 5)² + 2 ← in vertex form

Expand (x - 5)² and distribute by - 5

y = - 5(x² - 10x + 25) + 2

  = - 5x² + 50x - 125 + 2

  = - 5x² + 50x - 123 ← in standard form