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How do you identify the transformations of a square root applied to a parent function?
Wiki User
∙ 12y ago
Any number in a square root goes the opposite direction. For example f(x)=sqrt (x-2). This would translate the graph 2 units to the right. If you have sqrt x and -2 outside of the square root the graph would have a virtical shift down 2 units. If there is a number in front of the square root such as -3sqrtx there is a vertical shrink across the x-axis because the number is less than 0. Finally, if there is a number in front of the x, but under the square root such as sqrt6x, it is a horizantal stretch across the y-axis because the number is greater than 0.
Wiki User
∙ 12y ago
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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 is parent function?
i believe it is a linear linegoing diagonally
What is the parent function for a linear equation?
Y=x
How do you solve a parent function?
y=-3x+10
What is a key property of the quadratic parent function?
Parabal
How can transformations alter the graph of a parent function?
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-axisOn the other hand, f(-x) = makes it reflect over the y-axisf(x+a) = makes the parent function shift a units to the leftf(x-a) = makes the parent function shift a units to the rightf(x)+a = makes the parent function shift a units upf(x)-a = makes the parent function shift a units downf(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.
What is the parent function for the exponential function?
The parent function of the exponential function is ax
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.
Which parent function is represented by the graph?
Reciprocal parent function
Define parent function?
A parent function refers to the simplest function as regards sets of quadratic functions
What is the parent function for a quadratic function?
y = x2 is the parent function, but it can be in the form y = ax2 + bx + c
What is the definition of parent function?
When a function is nested inside another function, the outer one is the parent, the inner is the child.
Can a parent function access values of a child function?
In C programming, there aren't any parent or child functions.
What is the Most basic function in the linear function family?
parent
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 is parent function?
i believe it is a linear linegoing diagonally
What is the parent function of a square root?
x
