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Graphing Quadratic Functions from Intercept Form

Last updated about 4 years ago

10 Nsɛmmisa

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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)

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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?

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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?

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4.

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

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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.

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6.

Match the x-intercepts and vertices with their equations

x-intercept: (2, 0)
x-intercept: (4, 0)
x-intercept: (1, 0)
x-coordinate of vertex: 1
x-intercept: (7, 0)
x-coordinate of vertex: -1.5
x-coordinate of vertex: 3
x-intercept: (5, 0)
x-intercept: (-1, 0)
x-intercept: (0, 0)
x-coordinate of vertex: 2
x-coordinate of vertex: -0.5
x-intercept: (-2, 0)
x-intercept: (-3, 0)
x-intercept: (-5, 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)

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7.

Write the equation of this graph in intercept form:

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8.

Write the equation of this graph in intercept form:

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9.

Write the equation of this graph in intercept form:

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10.

Write the equation of this graph in intercept form: