Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the given function? y = 8x - 21 - 7

The parent function is: y = x

First, here we have two types of transformations, and we could define them in a general way as:

if we start with a function f(x)

Vertical dilation/contraction: A vertical dilation/contraction of scale factor A (A is always positive) is written as:

g(x) = A*f(x)

Vertical translation:

We can write a vertical translation of A units upwards as:

g(x) = f(x) + A

And a vertical translations of A units down can be written as:

g(x) = f(x) - A.

In this case, the transformations are:

first, a dilation of scale factor 8.

Then a translation down of 21 units

then another translation down of 7 units.

y = 8*X - 21 - 7

y = 8*x - 28.

As this is a linear equation, there are no axis of symmetry, we only could have a line of symmetry along the same line y = 8*x - 28

Again, as this function is a linear equation there is no vertex.

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step-by-step explanation:

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.