SOLUTION: f(x)=x^2-8x+15 find the vertex, the intercepts, and graph the quadratic function (label vertex & intercepts) Write the standard form of the quadratic function. -I have been

Question 687862: f(x)=x^2-8x+15
find the vertex, the intercepts, and graph the quadratic function (label vertex & intercepts)
Write the standard form of the quadratic function.
-I have been trying at the problem all last night trying to finish up my homework for this last section. I have looked in my college algebra textbook and everything and I am just not getting anywhere. Please please help!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x)=x^2-8x+15
find the vertex, the intercepts, and graph the quadratic function (label vertex & intercepts)
Write the standard form of the quadratic function.
---------
f(x = x^2-8x+15
---
Complete the square to find the vertex:
f(x) = x^2 -8x + 16 + 15-16
----
f(x) = (x-4)^2 -1
---
Vertex: (4,-1)
===================
Intercepts:
y = x^2-8x+15
Let x = 0, then y = 15
y-int is (0,15)
-----
Let y = 0
x^2 -8x + 15 = 0
Factor:
(x-5)(x-3) =0
x = 5 or x = 3
x-intercepts are (5,0) and (3,0)
------
Graph:

----
Standard form: y = x^2 - 8x + 15
====================================
Cheers,
Stan H.
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