What is the factor that is affected as a result of changing the manipulated variable?

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4 0

The factor that changes when the manipulated, or independent, variable is changed is known as the dependent variable. This variable is one of the two variables that are being investigated. When graphing the results of an experiment, the independent variable's values are placed on the x-axis of the graph and the values of the dependent variable are placed on the y-axis. An example of a manipulated variable and dependent variable relationship is seen in an investigation where the effect of temperature (manipulated) is seen on the amount of sugar that can be dissolved in water (dependent).

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function g is a transformation of the parent exponential function f(x)=x^2. the graph of g is a translation right 5 and up 1 uni

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The equation of g in the form y = ax² + bx +c is g(x) = x² - 10x + 26

What is a function ?

A function is a kind of rule that, for one input, it gives you one output. Image source: by Alex Federspiel. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.

Horizontal translation:

For a general function f(x) an horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the shift is to the left

If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x) a vertical translation of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards

If N is negative, the shift is downwards.

First, we apply a translation to the right of 5 units, then at the moment we have:

g(x) = f(x - 5)