What is the name for a U-shaped graph in the quadratic equation?
Parabola
y=-x2+16
what is a=? b=? c=?
a=-1 b=0 c=16
Name the x-intercepts (Give points where the parabola is crossing the x-axis) y=(x-2)(x+6)
(2,0) and (-6,0)?
What is the formula for the axis of symmetry?
x=-b/2a
Name the vertex y= (x-3)2 +4
What is (3,4)?
How do we call the highest or lowest point on a parabola.
Vertex
What is the x-intercept?
Point where the parabola crosses through the x-axis.
Name the x-intercepts. Give points where the parabola is crossing the x-axis. Y=(x)(x-2)
(0,0) and (2,0)
What does the axis of symmetry do?
Axis of symmetry cuts the quadratic equation in half.
y= (x+1)2 - 8
What is (-1, -8)?
What is the name of the form for this quadratic equation? y = ax2 +bx + c
Standard form
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.
What is the axis of symmetry for this quadratic function? y=x2 + 4x + 4
x=-2
y=(x+4)(x-4)
What is (0,-16)?
When the vertex is in the lowest part of the parabola, what is it called?
The minimum
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)
Name the x-intercepts. Use factoring, graphing or quadratic formula to find the points where the parabola crosses through the x-axis. y=x2 - x - 2
(-1,0) and (2,0)
What is the axis of symmetry for this quadratic function? y=x2 -6x +9
x=3
Name the vertex x2 - 4x - 5 = 0
What is (2,-9)?
How do we call the line that runs through the vertex and divides the parabola in half.
Axis of symmetry or line of symmetry
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
Name the x-intercepts. 4x2 +16x -20
(1,0) and (-5,0)
What is the axis of symmetry for this quadratic function? x2 + 1 = 2x
x = 1
Name the vertex 2x2 + 4x - 6 = 0?
What is (-1,-8)?