Vocabulary
Features on Graphs
Standard Form
Vertex Form
Factored Form
100
the maximum or minimum point on a graph
the vertex
100
Identify the y-intercept.
(0,-4)
100
Which way does the parabola open in the equation
y= 3x2 - 8x - 11 ?
UP or DOWN
UP
100
Identify the vertex of the equation
y = 3(x - 7)2 + 1
(7, 1)
100
Find the zeros (write answers as a point.)
y = (x + 5)(x + 2)
(-5,0) , (-2,0)
200
a U-shaped graph is called a _______________
parabola
200
Identify the vertex.
(4,2)
200
Identify the a, b, and c values in the equation
y = -4x2 + 7x - 8
a= ____, b = ____, c = ____
a= -4, b = 7, c =-8
200
What does the a value tell us about the graph of the equation?
y= a(x - h)2 + k
The a value tells us which direction the parabola will open.
200
What is the y-intercept of this function in factored form:
y = (x + 2)(x - 2)
(0,-4)
300
The _________________ is an imaginary straight line that divides a shape into two identical parts
(aka the mirror)
axis of symmetry
300
Identify the axis of symmetry.
x=4
300
Identify the y-intercept (written as an ordered pair).
y = 2x2 - 5x + 1
(0,1)
300
Identify the vertex.
y=-3(x+1)^2+6
(-1,6)
300
What is the range of this function in factored form:
y = (x + 9)(x + 2)
-9 < y < infinity
400
the point where the graph crosses the y-axis is known as the ______________
y-intercept
400
Would the graph of this equation have a maximum or a minimum?
y=-x^2+2x-4
maximum, since a is negative
400
Find the axis of symmetry in the equation
y = x2 -8x + 7
AOS: x = _____
x = 4
400
The Axis of Symmetry of the equation
y=-2(x-5)^2+3
is
A. x=-2 B. x=5 C. x=3 D. Another value
B. The AOS is the same as the x-value of the vertex.
400
What is the vertex of this function in factored form:
y = (x + 4)(x - 2)
(-1,-9)
500
an equation with a variable to the 2nd power (EX: x2 ) is called a ______________ equation
quadratic
500
How many zeros does this graph have?
2 (where the graph touches the x-axis)
500
Find the vertex of the equation y = -5x2 + 20x + 3
(2, 23)
500
Find y when x = 7:
y = (x - 3)2 + 6
y = 22
500
Turn this Factored Form into Standard Form:
y = (x + 3)(x + 5)
y = x2 + 8x + 15