Identify the Axis of Symmetry:
x=1
What is standard form for a quadratic equation?
y = ax2 + bx + c
The first step when solving by graphing is to find the ________ and use it to fill out the table.
Vertex
What are the solutions? Write your answer as a solution set.
(x-5)(x+2)=0
x={5,-2}
Identify the transformations:
y = (x-1)2 + 3
Right 1, Up 3
Identify the Vertex:
(1,-3)
What is vertex form for a quadratic equation?
y = a(x-h)2 + k
The formula for the Axis of Symmetry is...
x=-b/(2a)
What are the solutions? Write your answer as a solution set.
x2 - 4x =0
x={0,4}
Identify the transformations:
y = -(x+9)2 - 7
Vertical Reflection (Flipped), Left 9, Down 7
What is the "a" value for the given graph:
a=-2
What is the shape of a quadratic graph called?
Parabola
What are the solutions? Give your answer as a solution set.
x={2,6}
What are the solutions? Write your answer as a solution set.
x2 -10x+21=0
x={3,7}
Identify the transformations:
y = -4x2 + 12
Vertical Reflection (Flipped), Stretched by 4, Up 12
Does the graph appear to be stretched or compressed?
Compressed
Roots, zeros, solutions and _______ all have the same meaning.
x-intercepts
What are the solutions? Give your answer as a solution set.
x={1}
What are the solutions? Write your answer as a solution set.
6x2+x -2=0
x={-2/3 , 1/2 }
Identify the transformations:
y = 1/2 (x-5)2
Compressed by 1/2, Right 5
Write the equation for the graph below:
y=-(x-7)^2+1
When given a quadratic equation, how can you determine when the graph opens down?
"a" value is negative
What are the solutions?
No Real Solutions
What are the solutions? Write your answer as a solution set.
4x2+14x+6=0
x={-1/2 ,-3}
Write the equation with the following transformations:
Vertical Reflection, Compressed by 1/3, Left 3, Down 2
y=-1/3(x+3)^2-2