the graph that is the parent
the parent graph of a graph
Please don't write "the following" if you don't provide a list.
at first draw the graph of fx, then shift the graph along -ve x-axis 21 unit
If all the vertices and edges of a graph A are in graph B then graph A is a sub graph of B.
If you want to ask questions about the "following", then I suggest that you make sure that there is something that is following.
the parent graph of a graph
Reciprocal parent function
It is a reflection of the original graph in the line y = x.
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 /.
It is a hyperbola, it is in quadrants I and II
f(x)=x^2 apex
go to the parent and teacher store and get the photographs of the GRAPH
Please don't write "the following" if you don't provide a list.
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
The graph of the absolute value parent function, ( f(x) = |x| ), has a distinct V-shape that opens upwards. It is symmetric about the y-axis, meaning it is an even function. The vertex of the graph is at the origin (0, 0), and the graph consists of two linear pieces: one with a slope of 1 for ( x \geq 0 ) and another with a slope of -1 for ( x < 0 ). The function is continuous and has a range of ( [0, \infty) ).
The graph of the function ( f(x) = 3(4^x) - 5 + 23 ) is a transformation of its parent function ( g(x) = 4^x ). The factor of 3 vertically stretches the graph, making it steeper, while the "+23" shifts it upward by 23 units. The "-5" appears to be an error in your expression, as it would typically indicate a downward shift; if included, it would offset the upward shift. Overall, the graph retains the exponential growth characteristic of the parent function but is altered in scale and position.
Recognizing a function as a transformation of a parent graph simplifies the graphing process by providing a clear reference point for the function's behavior. It allows you to easily identify shifts, stretches, or reflections based on the transformations applied to the parent graph, which streamlines the process of plotting key features such as intercepts and asymptotes. Additionally, this approach enhances understanding of how changes in the function's equation affect its graphical representation, making it easier to predict and analyze the function's characteristics.