Tags

CCSS.HSA-REI.B.4B

Groups:

(a) i

,

(b) -1

,

(c) -i

,

(d) 1

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Match each graph to the correct equation.

• 
• 
• 
• 

Organize these options into the correct category describing the discriminant.

Groups:

(a) less than 0

,

(b) equal to 0

,

(c) >0; perfect square

,

(d) >0; not perfect square

• The function factors into two binomials

• Two irrational x-intercepts

• Zeros are rational values

• The parabola never touches the x-axis

• The function has complex zeros

• The vertex of the parabola is on the x-axis

The work below shows the procedure for completing the square to convert a standard form quadratic function into vertex form. Sort the steps in the order they would be seen in a solution.

Mathematical Equivalence

OFF

An archer shoots an arrow into the air with an initial velocity of approximately 156 feet per second from an initial height of 6 feet.

What is the maximum height the arrow reaches?

• 1.458 seconds

• 4.875 seconds

• 9.788 seconds

• 8 seconds

Sketch a graph of the height and time of the arrow.

Remember to:

• - Include the equation for your graph.

• - Label both axes

• - Mark the vertex, y-intercept, and x-intercept(s) shown within the contextual domain and range

• - Label the coordinates

Identify the appropriate domain and range for the context of this problem.