Use the four functions below for this question: f(x) x f(x) −1 -7 1 1 2 5 g(x) (graph) a line going through the point, negative 2, 5, and 0, negative 3 h(x) h(x) = −4x + 3 j(x) cameron adds 4 new hats to his collection each year. he started with only 3. question below compare and contrast these four functions using complete sentences. focus on the slope and y-intercept first, and then on any additional properties of each function

The slope of f(x) is 4 and y-intercept is -3. It is an decreasing function.

The slope of g(x) is -4 and y-intercept is -3. It is an decreasing function.

The slope of h(x) is -4 and y-intercept is 3. It is an increasing function.

The slope of j(x) is 4 and y-intercept is 3. It is an increasing function.

Step-by-step explanation:

The slope intercept form of a line is

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

If a line passing though two points, then the equation of line is

From the given information it is noticed that the function f(x) passing through the points (1,1) and (2,5).

The slope of f(x) is 4 and y-intercept is -3. It is an decreasing function.

From the given information it is noticed that the function g(x) passing through the points (0,-3) and (-2,5).

The slope of g(x) is -4 and y-intercept is -3. It is an decreasing function.

The function h(x) is

The slope of h(x) is -4 and y-intercept is 3. It is an increasing function.

It is given the initial amount of hat is 3 and number of hats increased by 4. So the function j(x).

The slope of j(x) is 4 and y-intercept is 3. It is an increasing function.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.