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Vocabulary
Misc.
x-intercepts
Axis of Symmetry
Factoring
100
What is the name for a U-shaped graph in the quadratic equation?
Parabola
100
What is the first step when solving quadratics using the quadratic formula?
Put the equation in standard form.
100
Name the x-intercepts (Give points where the parabola is crossing the x-axis) y=(x-2)(x+6)
(2,0) and (-6,0)?
100
What is the formula for the axis of symmetry?
x=-b/2a
100
Use factoring or quadratic formula to solve the quadratic. m^2 + 3m - 40 =0
x=5 x=-8
200
How do we call the highest or lowest point on a parabola.
Vertex
200
What is the y-intercept?
Point where the parabola crosses through the y-axis.
200
Name the x-intercepts. Give points where the parabola is crossing the x-axis. Y=(x)(x-2)
(0,0) and (2,0)
200
What does the axis of symmetry do?
Axis of symmetry cuts the quadratic equation in half.
200
What is the quadratic formula?
x= -b +- /b^2 -4ac ______________ 2a
300
What is the name of the form for this quadratic equation? y = ax^2 +bx + c
Standard form
300
What can the sign of the coefficient of an "a" term tell you about the behavior of the parabola? ax^2 +bx + c
The a term tells you whether the parabola is facing upward or downward.
300
Name the x-intercepts. Give points where the parabola is crossing the x-axis. y=x^2 - 4
(-2,0) and (2,0)
300
What is the axis of symmetry for this quadratic function? y=x^2 + 4x + 4
x=-2
300
Use the factoring or quadratic formula to solve the quadratic. m^2 - m = 0
m = 0 m = 1
400
When the vertex is in the lowest part of the parabola, what is it called?
The minimum
400
What can the coefficient of an "a" term tell you about the behavior of the parabola? ax^2 +bx + c
a>1 makes the parabola shrink (skinner) a <1 makes the parabola stretch (fatter)
400
Name the x-intercepts. Use factoring, graphing or quadratic formula to find the points where the parabola crosses through the x-axis. y=x^2 - x - 2
(-1,0) and (2,0)
400
What is the axis of symmetry for this quadratic function? y=x^2 -6x +9
x=3
400
Use the factoring or quadratic formula to solve the quadratic. 4a^2 +16a -20 =0
a = 1 a = -5
500
How do we call the line that runs through the vertex and divides the parabola in half.
Axis of symmetry
500
Name at least 3 steps that you need to take to graph the quadratic function.
1. Find the axis of symmetry (Find x) 2. Find the value of y 3. Find vertex (x,y) 4. Plot vertex 5. Plot axis of symmetry 6. Use T-chart to plot at least 2 points 7. Use axis of symmetry to plot remaining points
500
Name the x-intercepts. y= 10x^2 - x - 1
(1+ /41)/20 and (1+/41)/20
500
What is the axis of symmetry for this quadratic function? x^2 + 1 = 2x
x = 1
500
Use the factoring or quadratic formula to solve the quadratic. 4v^2 -2v =8
x= (1+ /33)/4, x = (1-/33)/4