What are the coordinates of the vertex for f(x) = x2 + 4x + 10?
1 answer:
9514 1404 393
Answer:
(d) (-2, 6)
Step-by-step explanation:
We can rewrite the function using vertex form.
f(x) = (x^2 +4x) +10
f(x) = (x^2 +4x +4) +10 -4 . . . . . . . add and subtract (4/2)^2
f(x) = (x +2)^2 +6
Compare to vertex form:
f(x) = (x -h)^2 +k
we see that (h, k) = (-2, 6) . . . . the vertex
_____
<em>Additional comment</em>
The value added and subtracted is the square of half the x-coefficient. Inside parentheses, that value "completes the square". Outside parentheses, that value ensures the overall function remains unchanged.
You might be interested in
Answer:
y=-1/3x-2
Step-by-step explanation:
First off, lets outline that parallel lines have the <u>Same Slope</u>. So we can plug in -1/3 as our slope, or m.
Lets plug in -1/3 as our slope in Point Slope form to find the y intercept. Point slope form should be attached in an image below.
1) Plug slope and points into point slope form:
y+1=-1/3(x+3)
2) Distribute -1/3 to x and 3:
y+1=-1/3x-1
3) Subtract 1 from both sides:
y=-1/3x-2
Now we have our answer is slope intercept form!
Please let me know if you have any questions :)
