Which of the following equations belongs to the quadratic function family?(1 point)

Question

Responses

y=2(7)x−55
y is equal to 2 times 7 to the x th power minus 55

y=2(x+1.5)12
y is equal to 2 times open paren x plus 1 point 5 close paren raised to the 1 half power

y=7(x+3)2

Answer 1

y=7(x+3)2

Answer 2

Compare the parent functions in the following answer choices. Which parent function is periodic and has an intercept at (0,1)?(1 point)
Responses

y=cosx
y=cosx

y=tanx
y=tanx

y=sinx

Answer 3

y=cosx

Answer 4

Use the table to answer the question.

Grace creates a table to track the approximate height reached by her flying disc, in feet, as a function of the time, in seconds, since she released the disc. Determine the type of function that best models the data. What function family does it belong to?

(1 point)
Responses

the quadratic function family
the quadratic function family

the square root function family
the square root function family

the linear function family

Answer 5

Since the question is asking to determine the type of function that best models the data, we would need to see the table provided to make that determination. Since the table is not provided, we cannot determine the type of function nor the function family it belongs to. To accurately decide on the function type and family, we typically require actual data points or values in a table or graph.

Answer 6

In Yellowstone National Park, Old Faithful is a geyser that is named because of its consistency. It faithfully erupts on average every 90 minutes. What type of function would best model the water output per minute from Old Faithful?(1 point)
Responses

a linear function
a linear function

a quadratic function
a quadratic function

a periodic function

Answer 7

a periodic function

Since Old Faithful erupts on average every 90 minutes in a regular, repeating pattern, a periodic function would best model the water output per minute from Old Faithful.

Answer 8

Jakeira is a research biologist who is studying a fast-growing bacteria strain of which the population size can double every 8 hours. To predict the colony size over the next week, she creates an equation that relates time in hours to the population size. Which function type best models this scenario?(1 point)
Responses

an exponential function
an exponential function

a periodic function
a periodic function

a linear function

Answer 9

an exponential function

Since the population size of the fast-growing bacteria strain can double every 8 hours, indicating exponential growth, an exponential function would best model this scenario where the population size increases or decreases rapidly.

Answer 10

A scientist is growing cells in a petri dish. Which of the following equations could model the number of cells in the petri dish after x days?(1 point)
Responses

y=(23)x
y is equal to 2 thirds to the x th power

y=9(0.75)x
y is equal to 9 times 0 point 7 5 to the x th power

y=100(3)x

Answer 11

y=9(0.75)x
y is equal to 9 times 0.75 to the x th power

This equation models the number of cells in the petri dish after x days.