Will the vertex of the graph be a maximum or a minimum point?
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Will the vertex of the graph be a maximum or a minimum point?
The vertex of the graph will be a maximum point.
The vertex of a quadratic graph will be a maximum point if the coefficient of is negative.
Why does the graph of not touch the y-axis?
The graph of not touch the y-axis because on the y-axis,
. You can not divide by zero therefore the graph does not have any values on the y-axis.
Where does the graph of cross the x-axis?
The graph of crosses the x-axis at
and
.
To find these roots, make each factor equal to zero to find the x-coordinate.
How can you find the coordinates of the turning point of a quadratic graph?
To find the coordinates of the turning point of a quadratic graph, you can either:
complete the square
differentiate and set the derivative equal to zero to find the x-coordinate
True or False?
The coordinates of the turning point of are
.
True or False?
The coordinates of the turning point of are not
.
The x-coordinate is the value that makes the squared bracket equal to zero.
The coordinates should be .
True or False?
The solutions to are the value(s) where the graph
crosses the y-axis.
False.
The solutions to are not the value(s) where the graph
crosses the y-axis.
when
which is the x-axis. Therefore the solutions are the values where the graph crosses the x-axis.
True or False?
The x values of the intersection of the two graphs and
are the solutions of
.
True.
The x values of the intersection of the two graphs and
are the solutions of
.
Set the equations equal to each other and rearrange: .
The solutions of are the x values of the intersection between
and which other graph?
The solutions of are the x values of the intersection between
and
.
How would you find the y-intercept of a graph using its equation?
To find the y-intercept of a graph, you would substitute into the equation.
True or False?
The point lies on the graph
.
True.
The point lies on the graph
.
What is the y-intercept of the graph ?
The y-intercept of the graph is
.
What is the minimum y value of the graph ?
The minimum y value of the graph is -1.
True or False?
The graph repeats itself every 180°.
False.
The graph does not repeat itself every 180°.
It repeats itself every 360°.
True or False?
The graph repeats itself every 180°.
True.
The graph repeats itself every 180°.
The graph repeats itself every how many degrees?
The graph repeats itself every 360°.
How would you use a graph of to find the solutions of
for
?
To find the solutions of for
using the graph
:
calculate one solution using inverse trig
draw the horizontal line
use the symmetry of the graph to find the other solution*
*For , you subtract one solution from 180° to find a second solution.
True or False?
The maximum y value on the graph is 1.
False.
The maximum y value on the graph is not 1.
The graph does not have a maximum value.