<span>A quadrilateral has congruent diagonals. It is probably a <u>Square</u></span>
-infinity, positive infinity
Answer:
Part a) The quadratic function is 
Part b) The value of x is
Part c) The photo and frame together are
wide
Step-by-step explanation:
Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame
Let
x----> the distance from the edge of the photo to the edge of the frame
we know that

Part b) What is the value of x?
Solve the quadratic equation 
The formula to solve a quadratic equation of the form
is equal to
in this problem
we have

so
substitute in the formula

-----> the solution
Part c) How wide are the photo and frame together?

Answer:
The endpoints of the latus rectum are
and
.
Step-by-step explanation:
A parabola with vertex at point
and whose axis of symmetry is parallel to the y-axis is defined by the following formula:
(1)
Where:
- Independent variable.
- Dependent variable.
- Distance from vertex to the focus.
,
- Coordinates of the vertex.
The coordinates of the focus are represented by:
(2)
The <em>latus rectum</em> is a line segment parallel to the x-axis which contains the focus. If we know that
,
and
, then the latus rectum is between the following endpoints:
By (2):


By (1):



There are two solutions:




Hence, the endpoints of the latus rectum are
and
.