a. Transform into vertex form and determine the coordinates of the vertex. (8 pts.)

1.) y= x2 + 2x - 21

2.) y = 4x2 - 20x + 3

b. Transform into standard form. (6 pts)

1.) y= (x - 3)2 + 5

2.) y= (x +6 ) 2 – 13

3.) y = -2 (x + 1)2 + 40

c. Identify the following using the given quadratic function. (15 pts)

1.) y =x2 + 12x
opening:_____
vertex:_____
axis of symmetry:_____
domain:____
range:_____

2.) y = x2-14x + 26
opening:____
vertex:____
axis of symmetry:___
domain:____
range:_____

3.) y = -2x2-10x +15
opening:_____
vertex:_____
axis of symmetry:_____
domain:____
range:_____


d. Given y =x2 as your reference ,give the new quadratic function following the conditions. (3 pts)

1. The graph of y=x2 is shifted 12 units upward.

2. The graph of y =x2 is shifted 9 units to the left.

3. The graph of y =x2 is shifted 20 units to the right and 15 units downward.​