Unit 6 EOU study guide

Question 1: The function f is given. Which statement is true about the graph of

 $f\left(x\right)=x^2-5x$  

• The x-intercepts are at (0,0) and (5,0)

• The graph has a y-intercept at (5,0)

• The coordinates of the vertex are (-2,4)

• The graph of the function opens downward 

Tags

CCSS.HSF-IF.C.7A

Question 2: Given the following graph of the function f, select all equations that could represent f.

• $f\left(x\right)=\left(x+3\right)\left(x+1\right)$

• $f\left(x\right)=\left(x-3\right)\left(x-1\right)$

• $f\left(x\right)=\left(x-2\right)^2-1$

• $f\left(x\right)=\left(x-2\right)^2+1$

• $f\left(x\right)=x^2-4x+3$

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Question 3: A quadratic function f is given by f(x)=ax^2+bx+c where a is not 0. Which of the following is NOT true?

• If b=0, then the vertex is on the y-axis

• When a>0 the graph opens upward

• The graph has an x-intercept at (c,0)

• The y-intercept of the graph is (0,c)

Question 4a: Which one is the graph of the equation y=(x-3)(x+5)?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

Question 4b: What are the x-intercepts of the equation y=(x-3)(x+5)

• (-3,0) and (-5,0)

• (3,0) and (-5,0)

• (3,0) and (5,0)

• (-3,0) and (5,0)

Tags

CCSS.HSF-IF.C.7A

Question 4c: What is the y-intercept of the equation y=(x-3)(x+5)?

• (0,-15)

• (0,15)

Tags

CCSS.HSF-IF.C.7A

Question 4d: What is the vertex of the equation y=(x-3)(x+5)?

• (1,16)

• (4,-1)

• (-4,1)

• (-1,-16)

Question 5a: Two objects are launched into the air. The height, in feet, of Object A is given by the equation f(t)=4+32t-16t^2. The height, in feet, of the Object B is given by the equation g(t)=2.5+40t-16t^2. In both functions, t is seconds after launch. (Use Desmos to graph each function in the same graphing window). What is the maximum height of Object A?

• 27.5 feet

• 20 feet

• about 2 feet

• about 3 feet

Question 5b: Two objects are launched into the air. The height, in feet, of Object A is given by the equation f(t)=4+32t-16t^2. The height, in feet, of the Object B is given by the equation g(t)=2.5+40t-16t^2. In both functions, t is seconds after launch. (Use Desmos to graph each function in the same graphing window). What is the maximum height of Object B?

• 27.5 feet

• 20 feet

• about 2 feet

• about 3 feet

Question 5c: Two objects are launched into the air. The height, in feet, of Object A is given by the equation f(t)=4+32t-16t^2. The height, in feet, of the Object B is given by the equation g(t)=2.5+40t-16t^2. In both functions, t is seconds after launch. (Use Desmos to graph each function in the same graphing window). Which object hits the ground first?

• object A

• object B