Which quadratic function does the graph represent with a vertex of negative 1 and negative 6

see explanation

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) = (- 1, - 6), hence

y = a(x + 1)² - 6

To find a substitute (0, - 4) into the equation

- 4 = a - 6 ⇒ a = - 4 + 6 = 2

y = 2(x + 1)² - 6 ← equation in vertex form

expand and simplify

y = 2(x² + 2 + 1) - 6

  = 2x² + 4x + 2 - 6

y = 2x² + 4x - 4 ← equation in standard form

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)