IV. Quadratic Functions 9. Graphs of Quadratic Functions

Choose a quadratic function with respect to .

If is a quadratic function, choose one that can be the value of .

For the quadratic function , find the value of .

For the quadratic function , find the value of constant when .

For the quadratic function , find the sum of all the possible values of when holds.

When the graph of the quadratic function passes two points and , find the value of for a constant .

Choose one quadratic function whose graph is symmetry of about x-axis.

When the following figure shows the graphs of two quadratic functions and , Choose one that can be the value of .

If you move the graph of the quadratic function in parallel by in the direction of the -axis, it passes the point . Find the value of .

As shown in the figure below, find the quadratic function whose graph has the vertex at the origin and passes the point .

When the graph of is translated in parallel to -axis by , it becomes . Find the value of for two constants and .

When the quadratic function is translated parallel to -axis, the new graph can be plotted as below. If the new graph passes a point , find the value of .

When the graph of quadratic function is translated parallel to -axis by , the translated graph passes the point . Find the value of in this case.

When the graph of the quadratic function is translated parallel to -axis by , and is also translated parallel to -axis by , the new graph passes the point . Find the value of at this time.

For the graphs of the quadratic function , find the range of where decreases as increases.

For the graph of the quadratic function , choose the quadrant over which the graph does pass.

The graph shown below is the graph of the quadratic function . Find the value of for three constants , and .

When the figure shown below is the graph of , find the position of the vertex of the graph of the quadratic function for the constants and .

When the graph of the quadratic function is translated by parallel to the -axis, and by parallel to -axis, it coincided to the graph of the quadratic function . Find the value of in this case.

When the graph of the quadratic function is translated by parallel to the -axis and by parallel to the -axis, the graph has the vertex at with the axis of symmetry . Find the value of for the constants , and .