Use your graphing shortcuts to graph f(x) = x2 − 6x + 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