PLS HELP WILL GIVE 30 POINTS Write a quadratic function in standard form whose graph has the given characteristics. passes through (- 8,0), (- 6, -16), and (2,0).

Question

asked Nov 27, 2023 174k views

1 Answer

Maheryhaja · Answer 1 · 2023-12-01T12:01:23+0000

Answer:
y=x^2 +6x-16

Explanation:

From the roots, the equation in factored form is
y=a(x-2)(x+8) . Substituting in the coordinates (-6, -16),

$-16=a(-6-2)(-6+8)\\\\-16=-16a\\\\a=1$

So, the equation is
y=(x-2)(x+8) , which expands to
x^2 +6x-16 .