Question

A coordinate plane shows an upward-opening parabola with a plotted point. Both axes range from negative 20 to 20 in increments of 5.
▼Click for Long Desc
The parabola passes through left parenthesis negative 4 comma 20 right parenthesis and left parenthesis negative 2 comma negative 5 right parenthesis to its vertex at the plotted and labeled point left parenthesis 2 comma negative 14 right parenthesis. It then turns upward and continues through left parenthesis 5 comma negative 5 right parenthesis, left parenthesis 7 comma 5 right parenthesis, and left parenthesis 8 comma 20 right parenthesis. All values are approximate.

What is the vertex form of the graphed equation?

(1 point)
y=
( x−

) 2+

Answer 1

Vertex at (2,-14) gives y = a(x - 2)^2 - 14. Use point (5,-5): -5 = a(3)^2 - 14 → 9a = 9 → a = 1.

So y = (x - 2)^2 - 14.