Equation of a parabola

label Calculus
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

Write the equation of a parabola in standard form with vertex (-2,3) that passes through f(2)=7

Apr 2nd, 2015

parabola equation: y=k(x-b)^2+h

b=x component of the vertex, in this case -2

h=y component of the vertex, in this case 3

so you get y=k(x-(-2))^2+3

now plug in f(2)=7, which is x=2, y=7, you get

7=k(2+2)^2+3, k=1/4

Thus, the equation of the parabola is y=(1/4)(x+2)^2+3


Apr 2nd, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Apr 2nd, 2015
...
Apr 2nd, 2015
Sep 22nd, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer