What is the equation of the following graph in vertex form?
parabolic function going down from the left through the (0,5) and turning at the (2,1) and continuing up towards infinity
a. y = (x − 2)2 + 1
b. y = (x − 1)2 + 2
c. y = (x + 2)2 + 1
d. y = (x + 2)2 − 1

f(x) = (x - 2)² + 1 answer A

Step-by-step explanation:

∵ The form of the Parabolic function = (x - h)² + k , where (h , k) is the vertex of the curve (turning point)

∵ Turning point is (2 , 1)

∴ f(x) = (x - 2)² + 1

To check your formula substitute x and f(x) by 0 and 5 ⇒ the point which the curve passing through it

∵ (0 - 2)² + 1 = 4 + 1 = 5

∴ f(x) = (x - 2)² + 1

bull

step-by-step explanation:

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0