Question

Select the correct answer. which is an apparent factor of the quadratic function graphed below? a graph shows an upward parabola on a coordinate plane vertex at (1.5, minus 6.1) which intercepts axis at (minus 2, 0), and (5, 0) passes through (minus 3, 4), and (6, 4) a. (x 5) b. (x ? 6) c. (x ? 2) d. (x ? 5)

Answer 1

1/2 stretch factor or apparent factor

Explanation:

please see the enclosed attachment for detailed explanation and a rough sketch of the parabola representing the quadratic equation.

Let m be the stretch factor or compression factor or apparent factor of the parabola.

y = m (x -(-2)) (x - 5)

= m (x + 2) (x - 5). ----(1)

We have many points lying on the parabola: (-3,4), (1, -6) (6,4) in addition to the intersections with the x axis. Let's take the vertex (1, -6).

-6 = m (1+2)(1-5)

m = 1/2.

Answer 2

Hi,

k=1/2 answer c

Explanation:

`Equation\ of \ the\ parabola\ which\ intercepts\ axis\ at\ (-2, 0)\ and\ (5, 0):\\y=k(x+2)(x-5)\\\\The\ parabola\ passes\ through\ (-3, 4):\\\\4=k*(-3+2)(-3-5)\\4=k*8\\\\k=(1)/(2)`

The apparent factor of the quadratic function is 1/2

Answer c