Question

2.4.4 Quiz: Parabolas with Vertices Not at the Origin

The vertex of this parabola is at (2, -4). When the y-value is -3, the x-value is
-3. What is the coefficient of the squared term in the parabola's equation?
10
-10
OA. -1
B. 1
10-
C. 5
OD. -5
(2,-4)
10

Answer 1

Since the vertex of the parabola is at (2, -4), we know that the equation of the parabola must have the form:

y = a(x - 2)^2 - 4

where a is the coefficient of the squared term.

To find the value of a, we need to use the fact that when y = -3, x = -3. Substituting these values into the equation, we get:

-3 = a(-3 - 2)^2 - 4

Simplifying the expression, we get:

-3 = 25a - 4

Solving for a, we get:

a = -1/5

Therefore, the coefficient of the squared term in the parabola's equation is -1. So it’s A