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OK, so let's call the parent function you're given f(x). There's a series of transformations a parent function can go through:
-f(x) = makes the parent function reflect over the x-axis
On the other hand, f(-x) = makes it reflect over the y-axis
f(x+a) = makes the parent function shift a units to the left
f(x-a) = makes the parent function shift a units to the right
f(x)+a = makes the parent function shift a units up
f(x)-a = makes the parent function shift a units down
f(ax) if x is a fraction like 1/2 , makes the parent function stretch by a factor of 2 (or multiply each x by 2)
f(ax) if x is a whole number (or fractions greater or equal to 1) like 2, makes the parent function compress by a factor of 2 (or divide each x by 2)
a*f(x) if x is a fraction like 1/2, makes the parent function get shorter by a factor of 2 (or divide each y by 2)
a*f(x) if x is a whole number (or fractions greater or equal to 1) like 2, makes the parent function get taller by a factor of 2 (or multiply each y by 2)
One way you can always tell what to do is that everything that is INSIDE the parentheses will be the OPPOSITE of what you think it should do. OUTSIDE the parentheses will do EXACTLY what you think it should do.
And when performing the transformations, start inside the parentheses first and then move outside. For example, f(x-2)+2; move the parent function first to the right 2 units and THEN move it up 2 units.
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Which parent function is represented by the graph?
Reciprocal parent function
What are the characteristics of the graph of the reciprocal parent function?
It is a reflection of the original graph in the line y = x.
Which parent function does the graph represent?
f(x)=x^2 apex
What are characteristics of the graph of the absolute value parent function in geometry?
It is in quadrants 1 and 2 It is v shaped it goes through the origin hope this helps!
How can you tell if a graph sHow is a function?
Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.
Which parent function is represented by the graph?
Reciprocal parent function
How do vertical transformations differ from horizontal transformations?
Vertical transformations involve shifting the graph up or down, affecting the y-values, while horizontal transformations involve shifting the graph left or right, affecting the x-values. Vertical transformations are usually represented by adding or subtracting a value outside of the function, while horizontal transformations are represented by adding or subtracting a value inside the function.
What statements best describes the transformations of the function gx x 4 - 3 compared to its parent graph fx x?
If you want to ask questions about the "following", then I suggest that you make sure that there is something that is following.
What is the linear parent function?
The linear parent function is y=x. The line on a graph passes through the origin(0,0) with a slope of 1. The line will face left to right on the graph like this /.
What are characteristics of the graph of the reciprocal parent function?
It is a hyperbola, it is in quadrants I and II
What are the characteristics of the graph of the reciprocal parent function?
It is a reflection of the original graph in the line y = x.
How are the two graphs related what transformation occurs?
All of the algebraic transformations occur after the function does its job, all of the rules from the two charts above to transform the graph of a function.
Which parent function does the graph represent?
f(x)=x^2 apex
What statements describe one of the transformations performed on to create?
One of the transformations performed on a function is translating it vertically by adding or subtracting a constant value to all y-values. This shifts the graph up or down relative to the original function without changing its shape.
What is the definition of parent graph?
the parent graph of a graph
The equation y-x is a parent linear function. Its parent function is...?
if you need to reflect a 2-d object on a graph over its parent linear function then do as follows: (x,y) --> (-y,-x) hope that helps
What is a parent graph?
the graph that is the parent
