Question

Part 1 − Find the vertex, axis of symmetry, domain, and range of the graph of y = −3x2 − 3x + 4. Show all work for full credit.

Part 2 − Using complete sentences, explain how you can determine the axis of symmetry, the domain, and range without graphing y = −3x2 − 3x + 4.

Answer 1

Part 1:
Vertex: (-½, 19/4)
Axis of symmetry: x = -½
Domain: All real values
Range: y ≤ 19/4

Answer 2

ohh, awesome!! do you know part 2? @e.cociuba

Answer 3

1 and 2. Use x = -b/2a to find the axis of symmetry.


Here, a = -3, b = -3 and c = 4. Then,

x = -(-3)/(2*-3)
= -½

Axis of symmetry: x = -½

Take that coordinate and substitute that for the function to find the vertex.

y(-½) = -3(-½)² - 3(-½) + 4 = 4.75

Vertex: (-0.5, 4.75)

Domain: All real values
Range: {y | y ≤ 4.75} since a < 0 for y = ax² + bx + c.

Answer 4

DOMAIN IS ALL REAL NUMBERS SINCE THERE IS NO VALUE OF X FOR WHICH F(X) IS NOT DEFINED

Answer 5

im mad
WAH!!!!

Answer 6

Umm ok? @dinosour1480

Answer 7

thanks!! this is totally awesome guys!!!

Answer 8

Np :))

Answer 9

Thanks @MotherOfGod and @e.cociuba

Answer 10

WASUUUUP