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Home > AC > Chapter 11 > Lesson 11.2.2 > Problem 11-93

11-93.
  1. Use your graphing shortcuts to graph f(x) = x2 − 6x + 5. Homework Help ✎

    1. What is the vertex?

    2. Describe the domain and range of this relation.

Plot the x- and y-intercepts first. The y-intercept is given. To find the x-intercept,
substitute 0 for y and factor the quadratic. Plot the points you found.

The vertex is exactly halfway between the two x-intercepts because a parabola's line of symmetry is on the vertex.

At the vertex, the x-coordinate is 3. Substitute 3 into the equation to solve for y and find the coordinates of the vertex.

Plot the point you found and sketch the parabola.

What is the domain of this graph, that is, what are the possible x-values?

What is the range, or possible y-values, of this graph?

D: all real numbers R: y ≥ −4