Homework 3.1

1. Fill in the blank to correctly complete the following sentence.  A polynomial function with leading term 9×3 has degree _____

2. Fill in the blank to correctly complete the following sentence.

The axis of symmetry of the graph of ​f(x)=9

−4 has equation

3.  Fill in the blank to correctly complete the following sentence.

The vertex of the graph of ​f(x)=

+10x+3 has​ x-coordinate ____

4.  Fill in the blanks to correctly complete the following sentence.

The graph of ​f(x)=−

−3x+6 opens down with​ y-intercept ______ so it has ____ ​x-intercept(s).

5.  Match the following equation with the description of the parabola that is its graph.  y=−​(x+7​)2+4

Choose the correct answer below.

6.  Match the following equation with the description of the parabola that is its graph.

y=−​

+9

Choose the correct answer below.

7.  Find a quadratic function f having the graph shown.

The quadratic function representing the graph shown to the right is given by

8. Find a value of c so that y=

−6x+c has exactly one​ x-intercept.

c=

9 Solve the following inequality by using a graphical method.

$x^2+x–12<0$

The solution set is

10.  Solve the following inequality by using a graphical method.

$–x^2+2x+2\ge 0$

The solution set is