Answer:
Equation in square form:

Extreme value:

Step-by-step explanation:
We are given

we can complete square

we can use formula


now, we can add and subtract 5^2



So, we get equation as

Extreme values:
we know that this parabola
and vertex of parabola always at extreme values
so, we can compare it with

where
vertex=(h,k)
now, we can compare and find h and k

we get
h=-5
k=-4
so, extreme value of this equation is

Answer:
The scale factor of a dilation from ABCD to RSTU is 
Step-by-step explanation:
We know that the rectangle ABCD is similar to rectangle RSTU.
Given that in rectangle ABCD the longest sides are DC and AB and in the rectangle RSTU the longest sides are UT and RS ⇒ The scale factor of a dilation will transform the sides DC and AB into UT and RS
Working with the lengths of the sides :
DC.(Scale factor) = UT
AB.(Scale factor) = RS
Replacing with the values of the lengths (Scale factor : SF) :


Notice that the scale factor is dimensionless.
We can verify this result with the sides AD and BC :


The scale factor (SF) is 
By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising.
<h3>The cross-section of a three-dimensional object?</h3>
In this exercise, you're required to use an online tool to investigate and determine the cross-sections of three-dimensional objects such as pyramids, cylinders, cones, etc., by passing different planes through them.
By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising because rotating the slice around Y produced a circular curve that transitioned into a parabolic curve.
Read more on cross-sections here: brainly.com/question/1924342
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