VOCABULARY
The u-shaped graph shown by a quadratic function.
What is a PARABOLA?
This is the formula for the axis of symmetry.
What is x = -b/2a ?
The vertex of
y = 2x^2 + 16x - 1 is this ordered pair.
What is (-4,-33)?
The x-intercepts of
f(x)= (x + 3)(x - 8) are these numbers.
What are (-3.0) and (8,0)?
A quadratic function will look like this if a is negative.
What is open downwards with the vertex as a maximum?
The line that passes through the vertex and divides a parabola into two symmetric parts.
What is the AXIS OF SYMMETRY?
This is the axis of symmetry for the equation y = 2x^2 + 8x – 5.
What is x = -2?
y = 4x^2 + 7
has its vertex at this point
What is (0,7)?
The x-intercepts of
f(x) = (x+5) (x-5) are these numbers
What are (-5,0) and (5,0)?
Identify the vertex of the following graph.
TBD
The lowest or highest point on a parabola.
What is the VERTEX?
This is the axis of symmetry for
y=-(x+1)^2 + 8
What is x = -1?
The vertex of
y = x^2
is this ordered pair.
What is (0,0)?
What are the x-intercepts of
f(x) = (x-2)^2 ?
(2,0)
Describe how the graph of
f(x) = (x+1)^2 -2
will change compared to
g(x)=x^2
f(x) will open up, shift to the left 1 unit, and move down 2 units
These are three names for the place or places a parabola crosses the x-axis.
What are x-intercepts, roots and zeros?
This is the axis of symmetry for
y = -4x^2 + 3.
What is 0?
This point is the vertex of
y = -(x - 3)^2 + 14
What is (3,14)?
The x-intercepts of
f(x) = x(x+1) are these numbers
(0,0) and (-1,0)
Describe how the graph of
f(x) = -0.5 x^2 + 3
will change compared to
g(x) = x^2
f(x) opens downward, is vertically stretched (narrowed), and translated 3 units up
This is the standard form of a quadratic function.
What is ax^2 + bx + c = 0 ?
This is the axis of symmetry for
f(x) = -3(x-2)^2 - 1
What is x = 2?
The vertex of
y = -4(x + 2)^2 + 3
is this.
What is (-2,3)?
The x-intercepts are
(-4,0) and (-6,0).
What is the equation of the function?
f(x) = (x+4) (x+6)
FINAL JEOPARDY: Determine the roots by graphing: y = 2x^2 - 12x + 16
What are 2 and 4?