Exam 2: Linear and Quadratic Functions

Determine the quadratic function whose graph is given. -A projectile is thrown upward so that its distance above the ground after t seconds is h = -12t² + 480t. After how many seconds does it reach its maximum height?

Solve the problem. -The following data represents the Olympic winning time in Women's 100 m Freestyle. year 1972 1976 1980 1984 1988 1992 1996 time 58.59 55.65 54.79 55.92 54.93 54.65 54.50 Find the slope of the line of best fit for the data set and interpret it.

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $F ( x ) = x ^ { 2 } - x - 12$

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function. - $g ( x ) = ( x - 7 ) ^ { 2 } - 36$

Plot and interpret the appropriate scatter diagram. -The table shows the study times and test scores for a number of students. Draw a scatter plot of score versus time treating time as the independent variable. Study Time (min) 9 16 21 26 33 36 40 47 Test Score 59 61 64 65 73 74 78 78

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $g ( x ) = 49 x ^ { 2 } + 70 x + 16$

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - 12 x + 32$

Match the graph to one of the listed functions. -

Determine the average rate of change for the function. - $F ( x ) = 10$

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). - $f ( x ) = \frac { 1 } { 4 } x ^ { 2 } + 2$

Use the slope and y-intercept to graph the linear function. - $h ( x ) = - \frac { 1 } { 2 } x - 3$

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $F ( x ) = 2 x ^ { 2 } + 4 x - 16$

Determine the quadratic function whose graph is given. -A coin is tossed upward from a balcony 186 ft high with an initial velocity of 16 ft/sec. During what interval of time will the coin be at a height of at least 90 ft? (h = -16t² + vot + ho.)

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = 4 x ^ { 2 } - 5 x - 9$

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function. - $G ( x ) = ( 2 x - 1 ) ^ { 2 } - 9$

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 5 | - 2 \geq 6$

Graph the function. State whether it is increasing, decreasing, or constant.. -p(x)=-x+5

Solve the problem. -If an object is dropped from a tower, then the velocity, V (in feet per second), of the object after t seconds can be obtained by multiplying t by 32 and adding 10 to the result. Find V as a linear function of t, and use this Function to evaluate V(2.2), the velocity of the object at time t = 2.2 seconds.

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 6 k + 9 | \leq 2$

Use a graphing calculator to plot the data and find the quadratic function of best fit. -The number of housing starts in one beachside community remained fairly level until 1992 and then began to increase. The following data shows the number of housing starts since 1992 (x = 1). Use a graphing calculator to Plot a scatter diagram. What is the quadratic function of best fit? Year, x Housing Starts, H 1 200 2 210 3 230 4 240 5 250 6 230 7 215 8 208