Graphing Quadratic Functions

How do you know if a parabola has a minimum?

• When ‘a’ is positive there is a minimum

• When ‘a’ is negative there is a minimum

• When all the numbers in the equation are negative there is a minimum

• When all the numbers in the equation are positive there is a minimum

Tags

CCSS.HSF-IF.C.7A

What is the equation for axis of symmetry?

• y = 3

• x = 3

• x = 5

• x = 1

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry for this function: -x²+10x-17

• x= 10

• x= -10

• x= -5

• x= 5

The axis of symmetry for the function 2x²+8x+2 is x=-2. What is the vertex?

• (-2, -6)

• (-6, -2)

• (2, 6)

• (6, 2)

Find the vertex of the quadratic:
y = -2x² + 4x + 3

• (0, 3)

• (-1, 5)

• (1, 5)

• (1, -5)

What is the range of this function?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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 

Tags

CCSS.HSF-IF.C.7A

What is the name of this form:
y = ax² + bx + c

• vertex form

• standard form

• factored form

• zero form

What is the standard form of a quadratic equation?

• y=mx+b

• y=x²

• y=ax²+bx+c

• y=a(x-h)²+k

What are the steps to graph a quadratic function?

• Find the x-intercepts and plot them on the graph

• Use the quadratic formula to solve for the vertex and plot it on the graph

• Connect the points with a straight line to form the parabola

• Identify the vertex, axis of symmetry, and y-intercept; plot these points and use the symmetry of the parabola to plot additional points.

Tags

CCSS.HSF-IF.C.7A