Graphing Quadratic Relations Algebraically
Graph the following quadratic relations algebraically by finding each of the key features listed.

x^2−5 x+4
1. y-intercept
2. Zeroes (x-intercepts)
3. Axis of Symmetry
4. Vertex
5. Maximum/Minimum value

x^2−5 x+6
1. y-intercept
2. Zeroes (x-intercepts)
3. Axis of Symmetry
4. Vertex
5. Maximum/Minimum value

x^2−x−6
1. y-intercept
2. Zeroes (x-intercepts)
3. Axis of Symmetry
4. Vertex
5. Maximum/Minimum value

x^2−10 x+25
1. y-intercept
2. Zeroes (x-intercepts)
3. Axis of Symmetry
4. Vertex
5. Maximum/Minimum value

Find the vertex form of the function. Then find each of the following (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range sx)-x2-6x+8 s(x(Type your answer in vertex form.) (A) State the y-intercept(s). (Use a comma to separate answers as needed. Type an integer or a decimal.) State the x-intercept(s). O A. The x-intercepts are 0 B. There are no x-intercepts (Use a comma to separate answers as needed. Type an integer or a decimal.) (B) The vertex is Type an ordered pair) (C) Does the function have a maximum or a minimum? Omaximum O minimum The maximum or minimum value is (D) The range is ? (Type your answer as an inequality, or using interval notation.) Click to select your answers

First determine the coordinates of the vertex and the axis of symmetry of the graph of fx) xx using the vertex formula. vertex x, y)- axis of symmetry x- Determine the x- and y-intercepts of the graph. x-intercept (x, y) smaller X-value (x, y) (larger x-value) y-intercept x,y) - Plot several points and complete the graph.

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry. Use the graph to determine the domain and range of the function. f(x) = 4x - x^2 -5 Use the graphing tool to graph the equation. Use the vertex and one of the intercepts when drawing the graph enlarge graph.