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

11-93.

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*f*(*x*) =*x*^{2}− 6*x*+ 5. Homework Help ✎What is the vertex?

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