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6-23.

Find an equation that will generate each graph.

a.

Downward parabola, vertex at (negative 4, comma 2), with points at (negative 5, comma 0), & (negative 3, comma 0).

b.

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).

c.

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

What kind of graph is this?

What are the x-intercepts and the vertex?

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.

The parent graph is  and the locator point is .

See part (a).