a parabola has a vertex at (0,0). the equation for the directrix of the parabola is x = -4. in which…

a parabola has a vertex at (0,0). the equation for the directrix of the parabola is x = -4. in which direction does the parabola open? up down right left

a parabola has a vertex at (0,0). the equation for the directrix of the parabola is x = -4. in which direction does the parabola open? up down right left

Answer

Answer:

C. right

Explanation:

Step1: Recall parabola - directrix property

For a parabola with vertex ((h,k)=(0,0)), if the directrix is of the form (x = -p), the standard - form of the parabola is ((y - k)^2=4p(x - h)).

Step2: Identify the value of (p)

Given the directrix (x=-4), then (p = 4) (since the equation of the directrix is (x=-p)).

Step3: Determine the direction of the parabola

The standard form of the parabola is (y^{2}=4px) (with (h = 0,k = 0) and (p = 4)). For a parabola of the form (y^{2}=4px) where (p>0), the parabola opens to the right.