The line of symmetry of the parabola whose equation is y = ax2 - 4x + 3 is x = -2. What is the value of "a"? -2 -1 -1/2

Question

asked Sep 5, 2020 219k views

2 Answers

Peter Mularien · Answer 1 · 2020-09-08T15:08:54+0000

Answer:

a = -1.

Explanation:

y = ax^2 - 4x + 3

Convert to vertex form:-

= a(x^2 - 4/a) + 3

= a [ (x - 2/a)^2 - 4/a^2 ] + 3

From this we see that the line of symmetry is y = 2/a so

2/a = -2

-2a = 2

a = -1.