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Graphing Quadratic Functions from Intercept Form

Last updated almost 4 years ago

10 questions

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Question 1

1.

The function f is given by f(x) = (x – 2)(x + 4). Without using graphing technology, what are the x-intercepts of the graph representing f? (Write them as integers with the word and in between)

Question 2

2.

The function f is given by f(x) = (x – 2)(x + 4). Without using graphing technology, what is x-coordinate of the vertex of the graph?

Question 3

3.

The function f is given by f(x) = (x – 2)(x + 4). Without using graphing technology, what is y-coordinate of the vertex of the graph?

Question 4

4.

The function f is given by f(x) = (x – 2)(x + 4). Without using graphing technology, what is y-intercept of this graph?

Question 5

5.

The function f is given by f(x) = (x – 2)(x + 4). Sketch a graph that represents f using the four points you identified above.

Question 6

6.

Question 7

7.

Write the equation of this graph in intercept form:

Question 8

8.

Write the equation of this graph in intercept form:

Question 9

9.

Write the equation of this graph in intercept form:

Question 10

10.

Write the equation of this graph in intercept form:

Match the x-intercepts and vertices with their equations

x-intercept: (7, 0)

x-intercept: (-2, 0)

x-coordinate of vertex: 1

x-coordinate of vertex: -0.5

x-intercept: (2, 0)

x-coordinate of vertex: 2

x-intercept: (4, 0)

x-intercept: (5, 0)

x-intercept: (-3, 0)

x-coordinate of vertex: -1.5

x-intercept: (-5, 0)

x-intercept: (-1, 0)

x-intercept: (0, 0)

x-coordinate of vertex: 3

x-intercept: (1, 0)

y = x(x - 2)

y = (x - 4)(x + 5)

y = (x - 1)(x - 5)

y = (x + 3)(x - 7)

y = (x + 2)(x + 1)