Algebraic Functions and Quadratic Functions

Find the height of the ball when it traveled a distance of 10 feet.

• 12.8 ft

• 13.3 ft

• 11.1 ft

• 17 ft

• y-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

• x-intercept

The height of a rocket, at selected times, is shown in the table above. Based on these data, which statement is not a valid conclusion?

• The rocket was launched from a height of 180 feet.

• The maximum height of the rocket occurred 3 seconds after launch.

• The rocket was in the air approximately 6 seconds before hitting the ground.

• The rocket was above 300 feet for approximately 2 seconds.

In vertex from, what will changing the value "a" do to a parabola?

• make it wider or narrower

• shift it left or right

• shift it up or down

• reflection over the x-axis

In vertex from, what will changing the value "h" do to a parabola?

• make it wider or narrower

• shift it left or right

• shift it up or down

• reflect it

In vertex from, what will changing the value "k" do to a parabola?

• make it wider or narrower

• shift it left or right

• shift it up or down

• reflect it

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²

Given that the black line is f(x)=x², describe the transformation of the blue line.

• shift up 3 units and right 2 units

• shift down 3 units and right 2 units

• shift up 3 units and left 2 units

• shift down 3 units and left 2 units

Describe the transformation of g(x) from the parent function f(x) = x²

• 3

• left

• 2

• down

• right

• up