QUADRATICS!!

PARABOLAS

100

Y-INTERCEPTS ALWAYS HAVE ____-COORDINATES OF __________.

X-COORDINATES

ZERO

200

X-INTERCEPTS ALWAYS HAVE ____-COORDINATES OF __________.

Y-COORDINATES

ZERO

300

THE ________ IS A POINT THAT IS EITHER A MAXIMUM OR A MINIMUM

VERTEX

400

THE ______________ IS A LINE THAT DIVIDES A PARABOLA INTO MIRROR-IMAGE HALVES

AXIS OF SYMMETRY

500

ZEROS AND ROOTS ARE NICKNAMES OF WHAT PART OF PARABOLAS?

X-INTERCEPTS

EQUATIONS

100

TO BE A QUADRATIC, THE EQUATION MUST HAVE THIS TERM

X²

200

ax² + bx + c

WHAT IS THIS FORM CALLED?

STANDARD FORM

300

a(x - p)(x - q)

WHAT IS THIS FORM CALLED?

FACTORED FORM

400

a(x - h)² + k

WHAT IS THIS FORM CALLED?

VERTEX FORM

500

EACH FORM OF A QUADRATIC HAS THE LETTER a.

WHAT TWO THINGS DOES a AFFECT?

THE PARABOLA'S DIRECTION AND WIDTH

SHORTCUTS

100

7x² + 3x - 4

WHAT IS THE Y-INTERCEPT?

y = -4

200

3(x - 5)(x + 10)

WHAT ARE THE X-INTERCEPTS?

x = 5 and x = -10

300

THE X-INTERCEPTS OF A QUADRATIC ARE 2 AND 4. WHAT IS THE X-COORDINATE OF THE VERTEX?

x = 3

400

-9(x + 3)² - 7

WHAT IS THE VERTEX?

v = (-3, -7)

500

-9(x + 3)² - 7

WHAT DIRECTION DOES THE PARABOLA FACE?

IS IT NARROWER OR WIDER THAN x²?

DOWN

NARROWER

INTERPRETATIONS

100

-16x(x - 2) REPRESENTS A SOCCER BALL'S HEIGHT, x SECONDS AFTER IT WAS KICKED.

WHAT DOES THE Y-INTERCEPT REPRESENT?

HOW HIGH WAS THE BALL WHEN IT WAS FIRST KICKED

200

-16x(x - 2) REPRESENTS A SOCCER BALL'S HEIGHT, x SECONDS AFTER IT WAS KICKED.

WHAT DOES THE VERTEX REPRESENT?

THE MAXIMUM HEIGHT OF THE BALL (AND THE TIME IT TOOK TO REACH IT)

300

-16x(x - 2) REPRESENTS A SOCCER BALL'S HEIGHT, x SECONDS AFTER IT WAS KICKED.

WHAT DO THE X-INTERCEPTS REPRESENT?

WHEN THE BALL WAS ON THE GROUND

400

-16x(x - 2) REPRESENTS A SOCCER BALL'S HEIGHT, x SECONDS AFTER IT WAS KICKED.

WHAT DOES THE DOMAIN REPRESENT?

HOW LONG THE BALL WAS IN THE AIR UNTIL IT HIT THE GROUND.

500

-16x(x - 2) REPRESENTS A SOCCER BALL'S HEIGHT, x SECONDS AFTER IT WAS KICKED.

WHAT DOES THE RANGE REPRESENT?

WHAT HEIGHTS DID THE SOCCER BALL REACH