Use the following quadratic function and the formula for the vertex form for the following questions:

f(x) = 4(x - 2)2

a. What is the value of a?

b. Does the parabola open upwards or downwards?

c. What is the value of h?

d. What is the value of k?

e. What is the axis of symmetry?

e. What is the vertex of this function?

2. f(x) = 4(x - 2)2? so f(x) = 8(x - 2)? or is it -2 perhaps?or ^2?
upd: oh, it's a parabola... didn't read far enough X.X... gotcha
http://en.wikipedia.org/wiki/Parabola has all the formulas you need

3. Originally Posted by mackitty08
Use the following quadratic function and the formula for the vertex form for the following questions:

f(x) = 4(x - 2)2

a. What is the value of a? Im sorry In not familiar with what a;h;k repressent? Is a the term before the x^2 term? We use diffrent letters in europe sometimes.

b. Does the parabola open upwards or downwards?
That is not a parabola your equation does not contain any x^2 term so its a straight line.

c. What is the value of h?

d. What is the value of k?

e. What is the axis of symmetry? It is the equation for the line therefore it is not symetric or has any vertex

e. What is the vertex of this function?
Did you make som error writting the equation maybe?

Vertex Form Parabola Equation
y = a(x-h)2 + k

in the above equation,

h represents the x-coordinate of the vertex of the parabola
k stands for the y-coordinate of the vertex of the parabola
x represents the x-coordinate of any given point on the parabola
y represents the y-coordinate of any given point on the parabola
a is a numerican constant

5. ## OK

Vertex Form Parabola Equation
y = a(x-h)2 + k is this menth to be $\rightarrow a(x-h)^2+k$

6. yep ... how do you guys use code to write stuff? is there a list of commands somewhere?

7. ## HI again

$f(x) = 4(x - 2)2$

a. What is the value of a?
The vertex form is $a(x-h)2+k$ so your a must be 4.

b. Does the parabola open upwards or downwards?
Note that the $x^2$ term is positive that means that the parabola comes from above and then turns upwards again.

c. What is the value of h?
The $h = 2$ in your equation

d. What is the value of k?
Your k = 0 (assuming I it means $\rightarrow a(x-h)2+k$

e. What is the axis of symmetry?
This must be 2 since the symmetry is given by h.

e. What is the vertex of this function?
The vertex you get when you find out the x and y values at the symmetri line. You have symmetri at x = 2
Entering this into your equation gives:
$4(2 - 2)2 = 0$ so your y at that point $= 0$ and $x = 2$ so the vertex is (2;0)

If you want to write equations etc you have to "wrap math tags" around the math expression. It is the third button from the right on the line where you can write B,I,U.
The languange is called LaTex and you can find alot of pages explaining how to do. At math help forum you can double click on other peoples equations that shows you how they are written.
Hope it helps