Question

Could someone help me super super quick?

Answer 1

#1

• y=a(x-h)²+k
• y=a(x²)+3

Put (2,-5)

• -5=2²a+3
• -5=4a+3
• 4a=-8
• a=-2

Equation

• y=-2(x-0)²+3

#2

• y=a(x-2)²

Put (5,9)

• 9=a(5-2)²
• 3²a=9
• 9=9
• a=1

Equation

• y=(x-2)²+0

#3

• y=a(x+3)²+2

put (-1,14)

• 14=a(2)²+2
• 14=4a+2
• 4a=12
• a=3

Equation

• y=3(x+3)²+2

#4

• y=a(x-5)²-3

Put (1,-8)

• -8=a(-4)²-3
• -8=16a-3
• 16a=-5
• a=-5/16

Equation

y=-5/16(x-5)²-3

Answer 2

Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola

The vertex of a parabola is the point at the top or bottom of the parabola

Explanation:

Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax2 + bx + c is "standard form", while others say that f (x) = a(x - h)2 + k is "standard form". To avoid confusion, this site will not refer to either as "standard form", but will reference f (x) = a(x - h)2 + k as "vertex form" and will reference f(x) = ax2 + bx + c by its full statement.