Without graphing, state the vertex for each of the following quadratic equations. a. y = (x − 5)^2 + 3 b. y = x^2 − 2.5 c. y = (x + 4)^2

Question

asked Feb 5, 2021 214k views

1 Answer

FABBRj · Answer 1 · 2021-02-10T05:05:01+0000

Answer:

(5,3)

(0,-2.5)

(-4,0)

Explanation:

The equation of a parabola in the form of the vertex is the following:

y=a(x-h)^2+k

and the vertex will be in the coordinates:
(h,k)

for a.
y = (x - 5)^2 + 3

we can see that
h=5 , and
k=3

so the vertex is at
(5,3)

for b.
y =x^2 - 2.5

we can re accommodate this equation as:
y=(x-0)^2+(-2.5)

in this form is easier to see that
h=0 , and
k=-2.5

so the vertex is at
(0,-2.5)

for c.
y = (x + 4)^2

we can re accommodate this equation as:
(x-(-4))^2+0

and as we can see
h=-4 and
k=0

so the vertex is at
(-4,0)