Graphing Quadratics

Which of the following equations represents the standard form of a quadratic function?

Which of the following equations represents the vertex form of a quadratic function?

Which of the following vocabulary words describes the point where a quadratic function reaches its highest or lowest point?

• Y-Intercept

• X-Intercept(s)

• Axis of Symmetry

• Vertex

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

• reflection

• stretch

• shrink

• left 4, up 2

• right 4, up 2

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• shrink by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• shrink by 5, shifted 2 units left and 2 down

• reflection

• stretch

• shrink

• left 5, up 10

• right 5, up 10