Converting to Standard Form
Converting to Vertex Form
Name the Feature (Vertex)
Name the Feature (Standard)
Ms. Mallo's Miscellaneous Mathemathical Mysteries
100

y=(x-2)2 is the vertex form for this standard form parabola.

What is y=x2-4x+4 ?

100

y=x2 +10x+25 is the standard form for this vertex form parabola.

What is y=(x+5)2 ?

100

The vertex of y=3(x-4)2+4.

What is (4,4) ?

100

The y-intercept of y=12x2-3x+16

What is (0,16) ?

100

This is the shape of a quadratic function.

What is a parabola?

200

y=(x+1)2 -6 is the vertex form for this standard form parabola.

What is y=x2+2x-5 ?

200

y=4x2 -16x+16 is the standard form for this vertex form parabola.

What is y=4(x-2)2 ?

200

The domain of y=4.9(x-8.1)2+67

What is "All Real Numbers"?


200

The domain of y=x2+12x-76

What is  "All Real Numbers"

200

This is the fomula Ms. Mallo plugged numbers into to find the vertex of a STANDARD form quadratic.

What is -b/(2a)

300

y=3(x-7)2 is the vertex form for this standard form parabola.

What is y=3x2-42x+147 ?

300

y=x2 +6x-9 is the standard form for this vertex form parabola.

What is y=(x+3)2-18 ?

300

The axis of symmetry of y=(x-9)2-6.

What is x=9 ? 

300

The Axis of Symmetry of y=4x2-16x+4

What is x=2 ?

300

This is the mistake that Ms. Mallo made by writing her vertex form equation as y=a(x+h)2+k

What is writing (x+h) instead of (x-h) ?

400

y=2(x-10)2+15 is the vertex form for this standard form parabola.

What is y=2x2-40x+215 ?

400

y=2x2 +12x+15 is the standard form for this vertex form parabola.

What is y=2(x+3)2-3 ?

400

The y-intercept of y=3(x-2)2-3

What is (0,9) ?

400

The vertex of y=x2-12x+36

What is (6,0) ?

400

Ms. Mallo wrote that y=-(x-2)2+4 is increasing on (-infinity, 4) and decreasing on (4,infinity). This is the mistake that she made.

What is using the y value of the vertex instead of the x value?
500

y=7(x-6)2 -21 is the vertex form for this standard form parabola.

What is y=7x2-84x+231 ?

500

y=-5x2 +60x is the standard form for this vertex form parabola.

What is y=-5(x-6)2+180

500

The zeros of y=2(x+5)2+32

What are (-5+4i,0) and (-5-4i,0) ?

500

The range of y= -2x2-4x+4

What is (-Infinity,6] ?

500
Ms. Mallo plots the zeros of y=-3(x-1)2+6 at these two coordinate points using decimal approximation.

What are (-0.4,0) and (2.4,0) ?