Determine whether a quadratic model exists for each set of values. If so, write the model. f(-2)=16, f(0)=0, f(1)=4

Step-by-step explanation:

Quadratic Model

The quadratic function can be expressed in the form:

Where a,b, and c are constants to be determined using the points through which the function passes.

We have the points (-2,16) (0,0) (1,4). To find the values of a,b,c we just substitute the values of x and y and solve the system of equations.

Point (0,0):

It follows that

c=0

Point (-2,16):

Operating:

Since c=0:

Divide by 2:

Point (1,4):

Since c=0:

Adding [1] + [2]:

2a+a=12

3a=12

a=12/3=4

a=4

From [2]

b=4-a

b=4-4=0

b=0

The model is:

a thesis statement is not a fact or a question

step-by-step explanation:

a thesis statement is a topic it is not a fact or a question