1) find the vertex and axis of symmetry of the graph of the function. 2) determine...
Sketch the graph of the quadratic function. Identify the vertex and axis of symmetry. 12) f(x) = (x - 3)2 + 6 03 Determine the coordinate of the vertex of the following quadratic function and indicate whether opens UP or DOWN. 13) f(x) = -x2 + 4x - 9
Analyze the polynomial function f(x)=x2 + x2 - 20x. Complete parts (a) through (c). (a) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are - (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) The y-intercept is - (Type an integer or a simplified fraction.) (b) Determine the real zeros of the function and their multiplicity. Use this information to determine whether the graph...
6) Identify the vertex, axis of symmetry, and intercepts for the graph of the function. 6) g(x)=x2- &x + 7 A) Vertex at (4, -9); axis: y = -9; x-intercepts: none; y-intercept: (1,0) B) Vertex at (-4,55); axis: x=-4; x-intercepts: none, y-intercept: (1,0) Vertex at (-4,55); axis: y = 55; x-intercepts: (1, 0) and (7,0); x-intercept: (0,7) D) Vertex at (4, -9); axis: r = 4; x-intercepts: (1,0) and (7,0); p-intercept: (0,7)
Identify the vertex, axis of symmetry, and intercepts for the graph of the function. 6) g(x) = x2-8x + 7 A) Vertex at (4, -9); axis: y = -9; x-intercepts: none; y-intercept: (1,0) B) Vertex at (-4,55); axis: x = -4; x-intercepts: none; }-intercept: (1,0) Vertex at (-4,55); axis: y = 55; x-intercepts: (1, 0) and (7,0); z-intercept: (0,7) D) Vertex at (4, -9); axis: x = 4; x-intercepts: (1,0) and (7,0); p-intercept: 0,7)
Find the x-intercepts of the polynomial function State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = ** -81x? O A. O, crosses the x-axis: 9. crosses the x-axis: -9, crosses the x-axis OB. O, touches the x-axis and turns around; 9, crosses the x-axis; -9, crosses the x-axis OC. 0, touches the x-axis and turns around 81, touches the x-axis and turns around OD. O, touches the x-axis and turns...
find the vertex, axis of stmmetry and graph 3. (10pts)) Find the vertex, axis of symmetry and graph y = -x - 4x +2 Mark on the graph the vertex and y- and x - intercepts
For the function below, (a) find the vertex; (b) find the axis of symmetry: (c) determine a minimum value and find that value; and (d) graph the function. f(x) = x2 + 8x + 17 (a) The vertex is (Type an ordered pair, using integers or fractions.) (b) The axis of symmetry is (Type an equation. Use integers or fractions for any numbers in the equation.) (c) Does f(x) have a maximum or a minimum value? The parabola f(x) has...
7. Write g(x) in vertex form. Then sketch the graph of g(x) g(x) = 2x + 4x - 6. Show ALL work a) Write the equation in vertex form. b) Suate the vertex -- c) State the axis-of-symmetry. a) Find the intercepts. X-intercept(s): y-intercept(s); 8. Given h(x) = x(x + 2)*(x - 2)? (1) Determine the degree and end behavior. Degree As X- As x 0 (b) Find the x-intercepts, the multiplicity of each root, and state whether the graph...
Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each zero fix)=x2-8x? + + 16x Determine the zero(s). If they exist. The zero(s) is/are D (Type integers or decimals. Use a comma to separate answers as needed) Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis...
Review for Sections 3.2 and 3.3: 1. [3 pts] Use synthetic division to divide x5 – x4 – 3x3 – 4x2 + 2x – 51 by x – 3. (Show algebraic work.) 2. [4 pts] Solve the equation x3 – 11x2 + 38x – 40 = 0 given that 4 is a zero of f (x) = x3 – 11x2 + 38x – 40. (Show algebraic work.) 3. [5 pts] Answer parts a. – c. below for the given polynomial...