What Transformations Change The Graph Of F(X) To The Graph Of G(X) F(X)=x^2 G(X)=(X+7)^2+9
The graph of the function is obtained from the graph of the function
when each point on the curve of
is shifted
units towards the negative direction of
axis and then shifted
units towards the positive direction of
axis.
Further caption:
The functions are given equally follows:
The objective is to determine the transformation or the style in which the graph of the role is obtained from the graph of the office
.
Concept used:
Shifting of graphs:
Shifting is a rigid translation because it does not change the size and shape of the bend. Shifting is used to motion the bend vertically or horizontally without any change in shape and size of the curve.
The function and
is a shift of the curve
horizontally towards negative and positive management of
axis respectively.
The function and
is a shift of the curve
vertically towards positive and negative direction of
axis respectively.
Step1: Draw the graph of the function .
Figure ane (fastened in the end) represents the graph of the role . From figure 1 it is observed that the curve of the function
is a parabola with origin as the vertex and mounted upwards.
Step 2: Obtain the graph of the function from the graph of the function
.
The office is of the form
.
So, as per the concept of shifting of the graphs the graph of the function is obtained from the graph of the function
when each point on the curve of
is shifted
units towards the negative direction of
centrality.
Figure 2 (attached in the cease) represents the graph of the function .
In figure 2 the dotted line represents the curve of and the bold line represents the curve of
.
Step3: Obtain the graph of the function from the graph of the office
.
The function is of the class
.
Then, every bit per the concept of shifting of graph the graph of the function is obtained from the graph of the function
when each point on the curve of
is shifted
units towards upward or the positive direction of
centrality.
Effigy iii (fastened in the end) represents the graph of the office .
In effigy iii the dotted line represents the curve of and the bold line represents the curve of
.
From the above explanation it is concluded that the graph of the function is obtained from the graph of the function
when each point on the curve of
is shifted
units towards the negative management of
axis and so shifted
units towards the positive direction of
axis.
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Answer details:
Class: High school
Subject area: Mathematics
Affiliate: Graphing
Keywords: Graph, curve, role, parabola, quadratic, f(x)=x2, thou(x)=(ten+7)2+9, shifting, translation, scaling, shifting of graph, scaling of graph, horizontal, vertical, coordinate, horizontal shift, vertical shift.
Source: https://brainly.com/question/2415963
Posted by: benoitcabol2001.blogspot.com
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