How do you graph #x= -3(y-5)^2 +2#?

Answer 1

The graph is an "n" shape . From the equations alone, we can tell for sure that this is a quadratic equation (either "u" or "n" shaped).

Expand the equation to get; #x=-3y^2+30y-73#
Finding turning points (#df(x)/dx=0 #);
#dx/dy=-6y+30# where #dx/dy=0#
Hence, #y=5#. When #y=5, x=2# The turning point is at coordinate #(5,2)# and it is a maximum point since the graph is an "n" shape. You can tell the "n" shape if the coefficient for the #y^2# is a negative .

Finding intersections :

Vertical axis ; Let #y=0#, #x-3(0-5)^2+2#. #x=-73#
Horizontal axis : Use #(-b+-sqrt(b^2-4ac))/(2a).#

You should get something like this (scroll on the graph to get a better view):

PS: Feel free to ask away any questions.

graph{-3x^2+30x-73 [-11.25, 11.25, -5.625, 5.625]} :

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

To graph the equation (x = -3(y - 5)^2 + 2), follow these steps:

  1. Identify the vertex of the parabola, which is in the form ( (h, k) ).
  2. Determine the direction of the parabola, either opening upwards or downwards.
  3. Plot the vertex and use the direction to sketch the parabola.
  4. Optional: Find additional points by plugging in values for ( y ) to get corresponding ( x ) values.
  5. Draw the graph accordingly.
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