Part A: Express the quadratic function in standard form (vertex form). ?(?) = 1 − 12?...

Part A: Express the quadratic function in standard form (vertex form). ?(?) = 1 − 12? − 4? 2

Part B: Find the quotient and remainder using synthetic division. ?^4 + 2?^3 − 10? all over ? − 3

Part C: A stone is thrown upward from the top of a building. Its height (in feet) above the ground after t seconds is given by the function ℎ(?) = −16?^2 + 96? + 48. a. What maximum height does the stone reach? Find the maximum height algebraically.

b. How long does it take the stone to hit the ground? Give an exact value.

Expert Solution

milcah answered 2 years ago

Discuss understanding how to express quadratic functions to standard forms and graphing polynomial function. This is...

Discuss understanding how to express quadratic functions to standard forms and graphing polynomial function. This is COLLEGE ALGEBRA.

Vertex (−5, 11), opens down. For the following exercises, use the vertex of the graph of the quadratic function and the direction..

For the following exercises, use the vertex of the graph of the quadratic function and the direction the graph opens to find the domain and range of the function.Vertex (−5, 11), opens down.

Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)...

Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) = x2 + 8x - 8

Write the following quadratic function in standard form and then sketch its graph. Clearly mark on...

Write the following quadratic function in standard form and then sketch its graph. Clearly mark on the graph the vertex and all intercepts. f(x)=-2x^2+6x+15 Note: if you could include step by step explanations so I’ll be able to understand the process and learn this concept that would be great!!

1. Reduce the quadratic form 2x2 – 6xy + y2 to standard form. Use the new...

1. Reduce the quadratic form 2x2 – 6xy + y2 to standard form. Use the new form to sketch the graph of this quadratic form. What is the angle by which the standard axes are rotated to the standard form orientation 2. find the principal stresses and directions of the stress state given by the matrix 12.5 12.99 12.99 47.5 σ = ksi.

. Put the equation into the standard form of a parabola and find the vertex, focus,...

. Put the equation into the standard form of a parabola and find the vertex, focus, and directrix (needs to be an equation of a line). The standard form of a parabola can be found in Section 7.3 of the textbook. Answers must be exact values and not approximations. 4y2 + 2 = -x + 8y A. Standard form B.Vertex C.Focus D.Directrix

Discuss understanding how to express quadratic functions to standard forms and graphing polynomial functions

A quadratic function f is given. f(x) = x2 + 6x + 8 (a) Express f...

A quadratic function f is given. f(x) = x2 + 6x + 8 (a) Express f in standard form. f(x) = (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.) vertex (x, y) = x-intercepts (x, y) = (smaller x-value) (x, y) = (larger x-value) y-intercept (x, y) = (d) Find the domain and range of f. (Enter your answers using interval notation.) domain range

for the following questions find : Vertex form, identify the vertex , concality and maximum/minimum. 1....

for the following questions find : Vertex form, identify the vertex , concality and maximum/minimum. 1. Q(x)=-3x^2+12x 2. K (x) = x^2 + 7x - 10 3. f(x)= 2x^2 + 4x +6

Fit a quadratic function of the form ?(?)=?0+?1?+?2?2 f ( t ) = c 0 +...

Fit a quadratic function of the form ?(?)=?0+?1?+?2?2 f ( t ) = c 0 + c 1 t + c 2 t 2 to the data points (0,−1) ( 0 , − 1 ) , (1,8) ( 1 , 8 ) , (2,−7) ( 2 , − 7 ) , (3,−6) ( 3 , − 6 ) , using least squares.

Question