What is the equation of the parabola that has a vertex at # (-1, 6) # and passes through point # (3,22) #?

Answer 1

Equation of the parabola is # y= x^2+2*x+7#

We use here the standard equation of Parabola #y= a (x-h)^2 +k# Where h an k are the co-ordinates of Vertex. Here h = -1 and k=6 (given) So the equation of the Parabola becomes # y = a(x+1)^2+6#. Now the Parabola passes through the point (3,22). So this point will satisfy the Equation. Then #22 = a(3+1)^2+6# or #a*16=22-6 or a=1# So the Equation of the parabola is # y= 1*(x+1)^2+6 or y= x^2+2*x+7#[Answer] graph{x^2+2x+7 [-80, 80, -40, 40]}
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

The equation of the parabola is ( y = 2x^2 + 4x + 10 ).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7