Quadratic Equations Attributes

• The new graph will be VERTICAL STRETCH by a factor of 3.

• The new graph will be VERTICAL COMPRESSED by a factor of 3.

• The new graph will be HORIZONTALLY SHIFTED to the RIGHT 3 units.

• The new graph will be VERTICALLY SHIFTED UP 3 units.

Which of the following are key attributes of the graph of the quadratic function shown above?

• I only

• III only

• I, III and IV

• I, II, III and IV

The graph of f(x) = x² + 31 is transformed by f(x) – 15, which of the following equations will best describe the resulting graph?

• f(x) = x² + 46

• f(x) = 16x²

• f(x) = x² + 16

• f(x) = 46x²

Nancy threw a ball upward from the roof of a 50-foot-high building at an initial velocity of 40 feet per second. The table shows the relationship between the time elapsed and the ball’s height above the ground. If the height of the ball is a quadratic function of time, between what times did the ball reach a height of 70 feet?

• Between 0 seconds and 0.5 seconds

• Between 1 seconds and 1.5 seconds

• Between 0.5 seconds and 1 second and between 1.5 seconds and 2 seconds

• Between 1 second and 1.5 seconds and between 1.5 seconds and 2 seconds

Identify the attributes of the graphed quadratic function. (NOT ALL ANSWER CHOICES WILL BE USED)

a

b

c

d

Slope

Y-Intercept

Axis of Symmetry

Vertex

X-Intercept(+)

X-Intercept(-)

Match the following coordinate or equation to its special attribute.

• Crosses the y-axis

• Axis of Symmetry

• Minimum

• a>0

• Is the x value of the vertex.

• Vertex

• Crosses the x-axis

• x-intercepts

• Graph opens up

• y-intercept

What attribute is the coordinate (0,-4) for the quadratic function? It is the ​ ​ (a)  

• vertex

• x-intercept

• y-intercept

• maximum

• minimum

• axis of symmetry

• No Special Attribute

Identify the attributes of the graphed quadratic function. (NOT ALL ANSWER CHOICES WILL BE USED)

a

b

c

X-Intercept(+)

Y-Intercept

Slope

Axis of Symmetry

X-Intercept(-)

Vertex

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

y = x² - 4x + 5

• down and down

• down and up

• up and down

• up and up