Algebra 1
Name:
Quadratic Functions Worksheet Day 1
Period:
Date:
This worksheet goes with the Day 1 Quadratic Functions GSP Activities. Please answer the
following questions for each tab.
Quadratic Graphs Notes:
Graphing y=ax2:
Move the slider around for a.
Q1: What does changing the value of a do to the parabola?
Q2: For what values of a is the parabola upside down?
Q3: Write three values of a for when the parabola is very skinny.
Q4: Write three values of a for when the parabola is very wide.
Q5: Write a rule to describe how a affects the width of the graph.
Graphing y=(x-h)2+k:
Move the sliders for h and k.
Q6: What does changing the value of h do to the parabola?
Q7: What does changing the value of k do to the parabola?
Measure the coordinates of point V.
Q8: How do the coordinates of V compare to the values of h and k on your sliders?
Q9: What is the equation of the line that goes through the point V?
Q10: How is it related to the coordinates of V?
Graphing y=a(x-h)2+k: (Teacher will need to insert specific questions they want to ask)
Min/Max:
Move the slider around for a.
Q1: For what values of a will the parabola open up?
Q2: Does the vertex (Point V) represent a maximum or a minimum when the parabola opens up?
Q3: For what values of a will the parabola open down?
Q4: Does the vertex (Point V) represent a maximum or a minimum when the parabola opens
down?
Measure the coordinates of point V.
Q8: Create two examples of a parabola where the vertex is a minimum and state where the
minimum occurs and what the minimum value is?
Q9: Create two examples of a parabola where the vertex is a maximum and state where the
maximum occurs and what the minimum value is?
Roots/Zeros:
Q1: Drag the sliders for a, b, and c to display a parabola that opens up and crosses the x-axis in
two points.
Q2: Show Roots/Zeros and record the values of these two points.
Q3: Drag the sliders for a, b, and c to display a parabola that opens down and crosses the x-axis
in two points.
Q4: Show Roots/Zeros and record the values of these two points.
Q5: Can you drag the sliders for a, b, and c to display a parabola that only hits the x-axis once? If
so how many roots/zeros will it have?