In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function.

Question

Question

f(x) = -4(x+7)²+9

The vertex is _______ (Type an ordered pair.)

Find the zeros for the polynomial function and give the multiplicity for each zero touches the x-ain and turns around at each zero.

f(x) = - 7(x - 5)(x+ 9)³

math algebra

Answer 1

Answer #1

Answer 2

Similar Homework Help Questions

In the following exercise, find the coordinates of the vertex for the parabola defined by the...

In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) = - 3(x+4)2 +1 The vertex is (Type an ordered pair.)
Find the zeros for the given polynomial function and give the multiplicity for each zero. State...

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...
Consider the quadratic function: f(x)=2x^2−8x+2 . Find the following for this parabola. A) The line of...

Consider the quadratic function: f(x)=2x^2−8x+2 . Find the following for this parabola. A) The line of symmetry: B) The vertex: C) The vertical intercept is the point D) Give the coordinates of the two xx intercepts of the parabola as ordered pairs.

2.3 2.5

Find the zeros for the 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.f(x)= -2(x-9)(x+3)2
Find the vertex, focus, and directrix of the parabola. Then graph the parabola.

Find the vertex, focus, and directrix of the parabola. Then graph the parabola.(x-4)2 = 12(y + 2) The vertex of the parabola is _______ (Type an ordered pair) The focus of the parabola is _______ (Type an ordered pair.) The directrix of the parabola is _______ (Type an equation. Simplify your answer.) Use the graphing tool to graph the parabola only.
1) find the vertex and axis of symmetry of the graph of the function. 2) determine...

1) find the vertex and axis of symmetry of the graph of the function. 2) determine the domain and the range of the function. 3) State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not. 4) For the polynomial, list each real zero and it’s multiplicity. Determine whether the graph crosses or touches the x–axis at each x-intercept. vertex and axIS oF Sm f(x) = x2 +...

10 For the given equation and graph of the quadratic function, do each of the following....

10 For the given equation and graph of the quadratic function, do each of the following. Complete parts (a) through (e). f(x) = -2(x - 5y2 + 2 a. Give the domain and range. The domain is (Type your answer in interval notation.) The range is (Type your answer in interval notation.) M h -10-8-82 2 -4 -6 -B 10 b. Give the coordinates of the vertex. The vertex is (Type an ordered pair.) c. Give the equation of the...
Consider the quadratic function: f(x) = 22? + 14x + 13 . Find the following for...

Consider the quadratic function: f(x) = 22? + 14x + 13 . Find the following for this parabola. A) The line of symmetry: B) The vertex: C) The vertical intercept is the point D) Give the coordinates of the two z intercepts of the parabola as ordered pairs. Round your values to two decimal places for this part, if the roots are irrational.
Find the vertex, focus, and directrix of the following parabola. Graph the equation. y? - 2y...

Find the vertex, focus, and directrix of the following parabola. Graph the equation. y? - 2y +x=0 The vertex is (Type an ordered pair.) The focus is (Type an ordered pair.) The equation of the directrix is (Type an equation.) Use the graphing tool to graph the equation. Click to enlarge graph

find a function whose graph is a parabola with vertex (-3,-6) (4 points) Find a formula...

find a function whose graph is a parabola with vertex (-3,-6) (4 points) Find a formula for the quadratic function whose graph has its vertex at (7,8) and its y-intercept at y = -4. f(3) = (x+7)^2+8 help (formulas)