How do I solve these Algebra problems. ASAP!?
I need help with these problems. Please be thorough and informative.
Write the equation of each parabola in vertex form.
- Vertex (0,5), point (1,-2)
- Vertex (1/4 , -3/2), point (1,3)
Write each function in standard form.
y = -(3x-4)squared + 6
y = 1/2(x-5)squared + 5
y = (1-4x)squared +1
Please help me I will give best answer for the most thorough answer that includes work and correct answer. =D
Update:But the book only gives me some questions that only give me a point. and i really want to know how to solve those. I know how to solve it when it states the Y-Int.
Comments
For the parabola problem, you need another point for it to have a solution.
y = -(3x-4)squared + 6
= - ( 9 x^2 - 24 x + 16 ) + 6
= -9 x^2 + 24 x - 10
y = 1/2(x-5)squared + 5
= ( x^2 - 10 x + 25 )
.....----------------------------........+......5
.................2
=x^2 / 2 - 5 x + 12.5 + 5
=x^2 / 2 - 5 x + 17.5
y = (1-4x)squared +1
= 16 x^2 - 8 x + 1 + 1
= 16 x^2 - 8 x + 2
impossible need more info