Quadratics and Parabolas

The expression x²+x-30 factorises into:

• (x+3)(x-10)

• (x-5)(x+6)

• (x+5)(x-6)

• (x-2)(x+15)

Describe the transformation when y=(x+2)² +3 is transformed into y=(x-5)²-4

• horizontally translate 5 units to the left and vertically shift 7 units up

• horizontally shift 5 units to the right and 4 units down

• horizontally translate 7 units to the right and vertically shift 7 units down

• horizontally shift 7 units to the left and 4 units up

Find the roots of the expression x²-3x-54

• x=2 x=27

• x=-6 y=9

• x=6 x=9

• x=-6 x=9

Tags

CCSS.HSA-REI.B.4B

What are the key features required to sketch a parabola?

• The x-intercepts

• The Gradient

• The y-intercept

• The Turning Point

Tags

CCSS.HSF-IF.C.7A

What is the standard form for this expression?

• (2x+3)(x+2)

• (x+3.5)²+6

• 2x²-7x-6

• 2x²+7x+6

Tags

CCSS.HSA.APR.C.4

What does this non-monic expression, 3x²-x-10 factorise into?

• (3x-2)(x+5)

• (3x+5)(x-2)

• (3x-5)(x+2)

• (x+10)(x-3)

What shape graph does a quadratic form?

• Umbrella

• Parebola

• Perobola

• Parabola

Tags

CCSS.HSF-IF.C.7A

Find the co-ordinate of the turning point for this equation y=(x+5)(x-4)

• (-0.5,-20.25)

• (0,20)

• (-4,20)

• (0.5, -20.25)

Is the turning point a minimum or a maximum for the equation y=-x²+2x-2. How do you know?

• Maximum because b is positive

• Minimum because c is negative

• Maximum, because a is negative

• Minimum, because a is negative

What is the Quadratic Formula?

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Tags

CCSS.HSA-REI.B.4B