Standard Form
What is the y-intercept of the following function?
-x2+2x-2
(0,-2)
What are the x-intercepts for this equation? Write them as a point.
y=(x-2)(x+4)
(2,0) and (-4,0)
What is the vertex of the following quadratic: f(x) = (x -9)2 - 9
(9, -9)
Change this equation to standard form:
(x+6)(x+9)
x2 + 15x + 54
This will determine if a quadratic function opens up or down.
What is the "a" value?
What are the x-intercepts for this equation?
y=x2+4x
(0,0) and (-4,0)
What are the x-intercepts of the function f(x)=(x-3)(x+11)?
(3,0) and (-11,0)
What is the vertex of this quadratic function:
(x-4)2+5
(4,5)
Change this equation to standard form:
(x-4)2
This is the equation of a quadratic function with the transformations: Right 2, Up 7.
f(x) = (x - 2)2 +7
What is the y-intercept of the function: f(x)=-5x2+3x-6
(0,-6)
How can you find the axis of symmetry from factored form?
(x1+x2)/2
What is the y-intercept for this equation? Write as a point.
y=(x-1)2+2
(0,3)
Change this to standard form:
-(x+3)(x-2)
-x2 - x + 6
This is a dash line that goes through the x-coordinate of the vertex.
Axis of Symmetry
This is the formula we use to find the axis of symmetry from standard form.
x = -b/2a?
What is the y-intercept? Write as a point.
f(x)=(x+8)(x-1)
(0,-8)
What is the y-intercept for this equation? Write as a point.
(x+4)2-3
(0,13)
Change this to standard form:
(x-3)2+4
x2 - 6x + 13
This is the general formula for the standard form of a quadratic function.
ax2+bx+c
What is the vertex for this equation?
y=-x2+2x-2
(1,-1)
This is the vertex of the function: f(x)=(x - 4)(x - 3)
What is (3.5, -0.25)?
Find the point on this graph when x=3:
-(x-2)2-2
(3,-3)
Change this to standard form:
-2(x+1)2-5
-2x2 - 4x - 7
This is the general formula for the vertex form of a quadratic function.
a(x-h)2+k