Graphing a quadratic function

Practice Questions

GMAT Quantitative Reasoning › Graphing a quadratic function

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1

has as its graph a vertical parabola on the coordinate plane. You are given that and , but you are not given .

Which of the following can you determine without knowing the value of ?

I) Whether the graph is concave upward or concave downward

II) The location of the vertex

III) The location of the -intercept

IV) The locations of the -intercepts, if there are any

V) The equation of the line of symmetry

2

Which of the following equations has as its graph a vertical parabola with line of symmetry ?

3

Give the set of intercepts of the graph of the function .

4

Give the -coordinate of a point of intersection of the graphs of the functions

and

.

5

The vertices of a triangle on the coordinate plane are the vertices and the -intercepts of the graph of the equation

.

What is the area of this triangle?

6

A triangle on the coordinate plane has as its vertices the -intercept and -intercepts of the graph of the equation

.

What is the area of this triangle?

7

Give the -coordinate of a point at which the graphs of the equations

and

intersect.

8

The graphs of the functions and have the same -intercept.

If we define , which of the following is a possible definition of ?

9

What are the possible values of if the parabola of the quadratic function is concave upward and does not intersect the -axis?

10

The graphs of the functions and have the same line of symmetry.

If we define , which of the following is a possible definition of ?

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