SOLUTION: Could you please help me with the equation of a parabola? Please see the attached picture of the graph. Thank you in advance! <a rel=nofollow HREF="https://ibb.co/YN8RCjT"><im

Question 1192447: Could you please help me with the equation of a parabola? Please see the attached picture of the graph. Thank you in advance!

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

One form of the equation for a parabola with vertex (h,k) that opens upward is

With the equation in that form, p is the directed distance (i.e., might be negative) from the vertex to the focus.

Your graph shows the vertex at (0,2); and it shows that the directed distance from the vertex to the focus is +1. So p=1 and the equation is

You can use the graph to verify the equation by using x=2 or x=-2 and seeing that for both of those x values the value of y is 3.

Outside the scope of your question, note that 4p=4 is the length of the latus rectum -- the segment that is perpendicular to the axis of the parabola through the focus, with endpoints on the parabola.

RELATED QUESTIONS
Please help me find the equation of a parabola in standard form.The Vertex:(-3,-1); The... (answered by solver91311)

Hi, im trying to find the equation of a parabola that this is depicted on a graph. All i... (answered by josgarithmetic)

Hi someone help me please , the graph of the function k is shown below. What is the... (answered by MathLover1)

This question requires to write equation of the parabola from the given graph. Please see (answered by Edwin McCravy)

Help ,Please! A vertical radio tower is located on the top of a hill that has ab angle... (answered by stanbon)

hey, could you please help me solving the following 2 equations: Determine the equation (answered by stanbon)

Please help me solve this problem: A square picture is mounted in a frame 1 cm... (answered by checkley77)

Could you please help with question I cannot copy it because of a picture you will have... (answered by Edwin McCravy)

HELP, PLEASE! The diameter of the circle is (x+2) units. Express the area of the square (answered by Alan3354)