Busy. Please wait.
or

show password
Forgot Password?

Don't have an account?  Sign up 
or

Username is available taken
show password

why

Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

By signing up, I agree to StudyStack's Terms of Service and Privacy Policy.


Already a StudyStack user? Log In

Reset Password
Enter the associated with your account, and we'll email you a link to reset your password.

Remove ads
Don't know
Know
remaining cards
Save
0:01
To flip the current card, click it or press the Spacebar key.  To move the current card to one of the three colored boxes, click on the box.  You may also press the UP ARROW key to move the card to the "Know" box, the DOWN ARROW key to move the card to the "Don't know" box, or the RIGHT ARROW key to move the card to the Remaining box.  You may also click on the card displayed in any of the three boxes to bring that card back to the center.

Pass complete!

"Know" box contains:
Time elapsed:
Retries:
restart all cards




share
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

  Normal Size     Small Size show me how

Quadratic Functions

Quadratic Functions and Graphs

QuestionAnswer
When k in the equation y=a(x-h)^2+k is negative, what happen? The parabola shifts DOWN (A part of your vertex). Example: y=x^2-7, the parabola will shift DOWN 7 units (vertex: (0,-7))
When k in the equation y=a(x-h)^2+k is positive, what happen? The parabola shift UP (A part of your vertex). Example: y=x^2+2, the parabola will shift UP 2 units (vertex: (0,2))
When h in the equation y=a(x-h)^2+k is negative, what happens? The parabola shifts RIGHT (A part of your vertex). Example: y=(x-3)^2, the parabola will shift RIGHT 3 units (vertex: (3,0)). Another way to remember: If it's in parenthesis, it will do the opposite.
When h in the equation y=a(x-h)^2+k is positive, what happens? The parabola shifts LEFT (A part of your vertex). Example: y=(x+4)^2, the parabola will shift LEFT 4 units (vertex: (-4,0)). Another way to remember: If it's in parenthesis, it will do the opposite.
What does the a in the equation y=a(x-h)^2+k do? This dictates whether the parabola will WIDEN or become more NARROW. Example: y=1/4x^2 will WIDEN y=5x^2 will become more NARROW
What will the equation: y=(x-3)^2+7 look like on a graph? A parabola shifted RIGHT 3 units and UP 7 units. Vertex: (3,7)
What will the equation: y=(x+2)^2-3 look like on a graph? A parabola shifted LEFT 2 units and DOWN 3 units. Vertex: (-2,-3)
What will the equation: y=1/3(x-4)^2+6 look like on a graph? A parabola shifted RIGHT 4 units, UP 6 units, and wider. Vertex: (4,6)
If given a quadratic equation in standard form (ax^2+bx+c), how can you find the vertex? The 'Vertex Formula': -b/2a will give you the x part of your vertex. Then plug in the x and solve for y.
What is the vertex for y=x^2+6x-7? -6/2(1)= -3 (-3)^2+6(-3)-7= -16 Therefore, your vertex is: (-3,-16)
How do you find the y-intercept? Replace x with 0 and solve for y. Example: y=(x-2)^2-1, y-intercept: (0,-1) y=x^2+4x-6, y-intercept: (0,-6) NOTE: THERE WILL ALWAYS BE A Y-INTERCEPT BUT NOT ALWAYS A X-INTERCEPT.
How do you know if a parabola faces upwards or downwards? Look at your y=a(x-h)^2+k, if a is a POSITIVE then it faces UPWARDS, if a is a NEGATIVE, then it faces DOWNWARDS.
Created by: careyann