Question

The vertex of this parabola is at (2,-4). When the y-value is -3, the x-value is

Answer 1

Answer:

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, - 4), thus

y = a(x - 2)² - 4

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

- 3 = a(- 3 - 2)² - 4

- 3 = 25a - 4 ( add 4 to both sides )

1 = 25a ( divide both sides by 25 ), hence

a = $\frac{1}{25}$

y = $\frac{1}{25}$ (x - 2)² - 4 ← in vertex form

  = $\frac{1}{25}$ (x² - 4x + 4) - 4 ← in expanded form

Hence the coefficient of the x² term is $\frac{1}{25}$

Answer 2

Answer:-5

Step-by-step explanation: