Graphing Parabolas Review printable pdf download

Graphing Parabolas Review

Geometry POST SOL Quadratics Review

Mrs. Grieser

Name: _____________________________ Date: _______________ Block: _________

Graphing Parabolas Review

The standard form of a parabolic quadratic function is f(x) =

+ bx + c

Sketch a quadratic of the form ax

+ bx + c by finding:

o Its concavity: concave up (positive

) or concave down

(negative

)

o The y-intercept (occurs at f(0), and is the same value as

)

o The axis of symmetry, the vertical line that divides the parabola into two symmetric

parts; the axis of symmetry is x =

o The vertex: always occurs on the axis of symmetry, so its x-value is

; find the y-

value of the vertex by plugging

into the function equation (find f(

))

o The zeros (x-intercepts), if any; find zeros using one of these methods:

 Graph using the graphing calculator; find the zeros by observation (or use the “zeros”

function to find the values of the zeros)

 Set the equation equal to 0 (all terms on one side; 0 on the other)

Solve by factoring (factor; set each factor equal to 0 and solve)

4ac

Solve by quadratic formula: x =

 Solve by completing the square:

Put ax

+ bx on one side of the equation; subtract c to the other side (ax

+ b = -c)

Divide through by

so that the coefficient of x

is 1

Complete the square on the left side of the equation, adding the same number to

both sides of the equation

Put the completed square in binomial squared form

Take the square root of both sides, remembering to take both the positive and

negative square roots

Solve for x; if in radical form, use the calculator to estimate the zeros

Graphing Parabolas Review