In this worksheet, we will practice graphing any quadratic function that is given in its standard and vertex forms using and studying its transformations.

Q1:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q2:

What is the function whose graph is shown below? • A
• B
• C
• D

Q3:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q4:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q5:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q6:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q7:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q8:

The shown figure is a graph of a function . Which of the following functions has a larger maximum value than the function ?

• A
• B
• C
• D
• E

Q9:

The function drawn represents the quadratic . Find the coordinates of and given units. • A,
• B,
• C,
• D,

Q10:

Which of the following function types describes the graph shown? • BAbsolute value
• CReciprocal
• DSquare root

Q11:

What function is represented in the figure below? • A
• B
• C
• D
• E

Q12:

The curve drawn below represents the quadratic function . Find the value of given is a square. Q13:

The function drawn below represents the quadratic which intersects the -axis at the points and . Find the value of given . Q14: • A
• B
• C
• D
• E

Rewrite your equation in standard form.

• A
• B
• C
• D
• E

Q15:

Which of the following is the equation of the function drawn on the graph? • A
• B
• C
• D
• E

Q16:

Which of the following is the equation of the function drawn on the graph? • A
• B
• C
• D
• E

Q17:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q18:

Which graph represents the function ?    • A(a)
• B(d)
• C(c)
• D(b)

Q19: • A
• B
• C
• D
• E

Rewrite your equation in standard form.

• A
• B
• C
• D
• E

Q20:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q21:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q22:

Which of the following is the equation of the function drawn on the graph? • A
• B
• C
• D
• E

Q23:

The figure below represents the function . Find the value of given that the length is 4 units. Q24:

The graphs of three quadratic equations are shown on the diagram below. Find the equation for each graph. • Ablue: , red: , green:
• Bblue: ,red: , green:
• Cblue: , red: , green:
• Dblue: , red: , green:

Q25:

Describe the sequence of operations on the graph of that produces the graph of .

• Ashift to the right then up
• Bshift to the left then up
• Cshift to the right then up
• Dshift to the left then up
• Eshift to the left then up