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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
Example of a function that has no inverse function?
y = sin x is such a function. It has an inverse, of course; but the inverse, sin-1, strictly speaking, is not a function.Example: Given that x = pi/6, y must equal 0.5. However, given that y = 0.5, x can equal pi/6, 5 pi/6, 13 pi/6, 17 pi/6, or an infinity of values, both positive and negative.For y to be a function of x, and x to be, also, a function of y, there must be exactly one value of y that answers to a given value of x, and vice-versa. Then, and only then, is each function the inverse of the other.
Write the function that is vertically stretched by a factor of 3 and translated 2 units left from its parent function?
y = 3*f(x + 2)
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 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 a quadratic function?
y = x2 is the parent function, but it can be in the form y = ax2 + bx + c
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 the parent function for a linear equation?
Y=x
How do you solve a parent function?
y=-3x+10
What is the parent function to a logarithmic equation?
y = b^x
What is the parent function for ALL linear equations?
y = x
What is an example of a real life parent linear function?
y=x2
What is is parent function?
i believe it is a linear linegoing diagonally
How do you determine if a function is even or odd?
You can tell if a function is even or odd by looking at its graph. If a function has rotational symmetry about the origin (meaning it can be rotated 180 degrees about the origin and remain the same function) it is an odd function. f(-x)=-f(x) An example of an odd function is the parent sine function: y=sinx If a function has symmetry about the y-axis (meaning it can be reflected across the y-axis to produce the same image) it is an even function. f(x)=f(-x) An example of an even function is the parent quadratic function: y=x2
How do you tell if a function is even or odd?
You can tell if a function is even or odd by looking at its graph. If a function has rotational symmetry about the origin (meaning it can be rotated 180 degrees about the origin and remain the same function) it is an odd function. f(-x)=-f(x) An example of an odd function is the parent sine function: y=sinx If a function has symmetry about the y-axis (meaning it can be reflected across the y-axis to produce the same image) it is an even function. f(x)=f(-x) An example of an even function is the parent quadratic function: y=x2
What is the children function for the exponential function?
We usually say something like "y=ex is the parent function of y=3ex-2+10", so the answer to your question is probably " The child functions of y=ex have the form aebx+c+d."
Is y -9x 6 a function?
If you mean y = -9x + 6, or something similar: ANY equation that is solved for "y" can be considered a function (of "y", with respect to "x"). You an write the above in functional notation as: f(x) = -9x + 6
