Graphing Quadratic Functions from Intercept Form

Last updated over 3 years ago
10 questions
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)

1

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?

1

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?

1

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

1

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.

1

Match the x-intercepts and vertices with their equations

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

Write the equation of this graph in intercept form:

1

Write the equation of this graph in intercept form:

1

Write the equation of this graph in intercept form:

1

Write the equation of this graph in intercept form: