Quadratic Vocabulary and Formula Pre-Quiz

Vertex Form of a Quadratic Function (equation)

• f(x)=a(x-h)^2-k where (h,k) is the vertex

• f(x)=a(x-h)^2-k where (k,h) is the vertex

• f(x)=a(x-h)^2-k where (h,k) is the vortex

• 2/3 (h,k) is the vertex

Standard Form of a Quadratic Function (equation)

• f(x)=ax^2+bx-c

• f(x)=ax^2+bx+c

• h(c)=ax^2+bx+c

• f(x)=ax^2-bx+c

Vertex of a Quadratic Function

• The minimum when a>0. The maximum when a<0

• The maximum when a>0. The maximum when a<0

• The minimum when a<0. The maximum when a>0

• The maximum when a<0. The maximum when a>0

Axis of Symmetry for a Quadratic Function including the equation

• x=-b/2a

• x= 2/ba

• x=-2/ba

• y=-b/2a

Solutions to Quadratic Function (graphically and algebraically)

• Where the graph crosses the x-axis and x=(-b+-√b^2-4ac)/2a

• Where the graph crosses the x-axis and x=(-b+-√b^2-3ac)/2a

• Where the graph crosses the x-axis and x=(-b+-√b^2-2ac)/4a

• Where the graph crosses the x-axis and x=(b+-√b^2-9ac)/2a

Discriminant (equation)

• b^2-4ac

• b^3-4ac

• 2^b-4ac

• b^4-2ac

Tags

CCSS.HSA-REI.B.4B

When the Discriminant is 0 how does that affect the solutions? How does it affect the graph?

• One real solutions crossing the x-axis once.

• Two real solutions crossing the x-axis once.

• Three real solutions crossing the x-axis once.

• Four real solutions crossing the x-axis once.

Tags

CCSS.HSF-IF.C.7A

When the Discriminant is positive how does that affect the solutions? How does it affect the graph?

• One real solutions crossing the x-axis twice

• Two real solutions crossing the x-axis twice.

• Three real solutions crossing the x-axis twice.

• Two real solutions crossing the y-axis twice.

When the Discriminant is negative how does that affect the solutions? How does it affect the graph?

• Two imaginary solutions never crossing the x-axis.

• Three imaginary solutions never crossing the x-axis.

• One imaginary solutions never crossing the x-axis.

• One imaginary solutions never crossing the y-axis.

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Quadratic Formula (equation)

• x=(-b+-√b^2-4ac)/2a

• x=(-b+-√b^-2-4ac)/2a

• x=(-b+-√b^2-9ac)/3a

• x=(b+-√b^2-4ac)/2a

Tags

CCSS.HSA-REI.B.4B