A swim team member performs a dive from a 14-foot-high springboard.
The parabola below shows the path of her dive.
Which equation represents the axis of symmetry?
The equation y = -x2 - 2x + 8
is graphed on the set of axes below.
Based on this graph, what are the
roots of the equation -x2 - 2x + 8 = 0 ?
The height, y , of a ball tossed into the air can be
represented by the equation y = -x2 + 10x + 3 ,
where x is the elapsed time. What is the equation
of the axis of symmetry of this parabola?
What are the vertex and the axis of symmetry of the parabola shown in the graph below?
What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola shown in the graph below?
The graph below represents the parabolic path of a ball kicked by a young child. What are the vertex and the axis of symmetry for the parabola?
Which equation represents the axis of symmetry of the graph of the parabola below?
A student correctly graphed the parabola shown below to solve a given quadratic equation.
What are the roots of the quadratic equation associated with this graph?
What is an equation of the axis of symmetry
of the parabola represented
by y = -x2 + 6x - 4 ?
What is the vertex of the graph of the
equation y = 3x2 + 6x + 1 ?
The graph of f(x) is shown below.
Based on this graph, what are the
roots of the equation f(x) = 0 ?
Which equation represents the axis of
symmetry of the graph of the
equation y = x2 + 4x - 5 ?
A model rocket is launched into the air from ground level.
The height, in feet, is modeled by p(x) = -16x2 + 32x ,
where x is the number of elapsed seconds. What is the
total number of seconds the model rocket will be in the air?
The vertex of the parabola
y = x2 + 8x + 10 lies in Quadrant
How is the graph of y = x2 + 4x + 3
affected when the coefficient of x2
is changed to a smaller positive number?
What are the vertex and the axis of symmetry of the parabola shown in the diagram below?
Consider the graph of the equation
y = ax2 + bx + c , when a is NOT equalt to 0.
If a is multiplied by 3, what is true of
the graph of the resulting parabola?
What are the vertex and axis of symmetry of the parabola shown in the diagram below?
Melissa graphed the equation y = x2
and Dave graphed the equation y = -3x2
on the same coordinate grid. What is the
relationship between the graphs that Melissa and Dave drew?
What are the vertex and axis of symmetry
of the parabola y = x2 - 16x + 63 ?
The equation y = x2 + 3x - 18
is graphed on the set of axes below.
Based on this graph, what are the
roots of the equation x2 + 3x - 18 = 0 ?
The roots of a quadratic equation can be found using the graph below.
What are the roots of this equation?
The equation y = ax2 + bx + c
is graphed on the set of axes below.
Based on the graph, what are the roots
of the equation ax2 + bx + c = 0 ?
Which parabola has an axis of
symmetry of x = 1 ?
State the equation of the axis of symmetry of the parabola graphed below.
State the coordinates of the vertex of the parabola graphed below.
Find algebraically the equation of the axis
of symmetry of the parabola whose
equation is y = -2x2 - 8x + 3 .
Find algebraically the coordinates of the
vertex of the parabola whose equation is
y = -2x2 - 8x + 3 .
Graph the equation y = x2 - 2x - 3
on the accompanying set of axes.
Using the graph, determine the roots
of the equation x2 - 2x - 3 = 0 .
(Write your answer such as
8and9
-7and-4 )