A quadratic function is given.

Tutor: None Selected Time limit: 1 Day

f(x) = x2 − 4x

(b) Find its vertex and its x- and y-intercept(s). (If an answer does not exist, enter DNE.)

vertex    (xy) =
x-intercepts    (xy) =
 (smaller x-value)
(xy) =
 (larger x-value)
y-intercept    (xy) =
Mar 3rd, 2015

You will want to take this function from it's standard form to vertex form. This is of the form a(x-h)^2+k

To do this, you want to complete the square of x^2-4x by +4 and -4, so you get x^2-4x+4-4 = (x-2)^2 -4. 

Therefore in vertex form, a=1, h=2, k = -4. The vertex is therefore (2, -4). 

Now to solve the x-intercepts you set x^2-4x =0. You can factor to get x(x-4) = 0 and find x=0 or x=4. 

So the smaller x-value intercept is (0,0) and the larger x-value intercept is (4,0)

The y-intercept just plugs in x=0 into x^2-4x, and you get (0,0). 

Mar 4th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
Mar 3rd, 2015
Mar 3rd, 2015
May 29th, 2017
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer