CPM Homework Help : A2C Problem 7-23

Find an equation that will generate each graph.

Downward parabola, vertex at (negative 4, comma 2), with points at (negative 6, comma 0), & (negative 3, comma 0).

Decreasing rational function, asymptotes: x axis &, x, = 2, left section, opens down, is below x axis & left of, x, = 2, & passes through the point (1, comma negative 1). Right section, opens up, is above, x axis, & right of, x, = 2, & passes through the point (3, comma 1).

Decreasing cubic function, centered at (0, comma 3), passing through the point, (1, comma 2).

Hint (a):

What kind of graph is this?

Hint 2:

What are the x-intercepts and the vertex?

More Help (a):

Use the vertex to write equation in graphing form.
Then substitute one of the x-intercepts in for x and y to solve for a.
$y=a(x+4)^2+2$

Hint (b):

The parent graph is $\text{ }y=\frac{1}{x}$ and the locator point is $(2,0)$ .

Hint (c):

See part (a).