Question

algebra 2a semester online practice
complete this assessment to review what you’ve learned. it will not count toward your grade.
given the equation 16 (x - 1) = (y - 8)², determine whether the parabola opens up, down, left, or right
right
left
up
down

Explanation:

Step1: Recall parabola standard forms

For a parabola, the standard form \((y - k)^2 = 4p(x - h)\) opens right (if \(p>0\)) or left (if \(p<0\)), and \((x - h)^2 = 4p(y - k)\) opens up (if \(p>0\)) or down (if \(p<0\)).

Step2: Rewrite given equation

The given equation is \(16(x - 1)=(y - 8)^2\), which can be rewritten as \((y - 8)^2 = 16(x - 1)\). This matches the form \((y - k)^2 = 4p(x - h)\) where \(4p = 16\), so \(p = 4\).

Step3: Determine direction

Since \(p = 4>0\) and the form is \((y - k)^2 = 4p(x - h)\), the parabola opens right.

Answer:

A. right