The vertex of a quadratic function is located at (1, 4), and the y-intercept of the function is (0, 1). what is the value of a if the function is written in the form y = a(x – h)2 + k?

a =

Step-by-step explanation:

The vertex form of a quadratic function:

where (h, k) is a vertex.

We have the vertex (1, 4). Therefore h = 1 and k = 4.

The y-intercept of the function is (0, 1). Put x = 0 and y = 1 to the equation

          subtract 4 from both sides

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

s

step-by-step explanation: