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What is the maximum and minimum of quadratic function parent function?
Wiki User
∙ 13y ago
The minimum is the vertex which in this case is 0,0 or the origin. There isn't a maximum.....
Wiki User
∙ 13y ago
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What are characteristics of the graph of the reciprocal parent function?
It is a hyperbola, it is in quadrants I and II
Which parent functions has a domain and range of all real numbers excluding the origin?
y = 1/x
What is the equation of the graph obtained when the parent graph y equals x3 is translated 4 units left and 7 units down?
y = x3 After translating 4 units left and 7 units down, this function would become: y = (x+4)3-7 In single-variable mathematical functions, vertical translations are always achieved by simply adding or subtracting a number constant from the original function. Addition causes upward shift, subtraction causes downward shift. Horizontal translations for simple functions are achieved by adding or subtracting number constants within the argument of the function in question. Addition causes leftward shift, subtraction causes rightward shift. Vertical translations are easy to comprehend, horizontal translations are not always so easy. Some more examples: y = sin(x) shifted pi units to the left is y = sin(x+(pi)). [this is also equal to y = cos(x)] y = ln(x) shifted 5 units right is y = ln(x-5) Take note: for more complex functions or polynomials not in vertex form, it is not always so simple. For example, a function like: y = ln(sin(x)-cos(x))3 cannot have horizontal shifts so easily applied to it. Vertical shifting is still the same for any function regardless of complexity, so this function could still be vertically shifted by adding or subtracting number constants. I don't know off the top of my head how exactly to precisely shift this function horizontally, but I would recommend messing around on a graphing calculator to really gain a good knowledge of how changing certain parts of functions affects their appearance.
Define parent function?
A parent function refers to the simplest function as regards sets of quadratic functions
What is the equation of the parent quadratic function?
x2
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 a key property of the quadratic parent function?
Parabal
What reveals a translation of a parent quadratic function?
vertex
What is the minimum value of the cube root parent function?
The global minimum value is always negative infinity.
What are the domain and range of the quadratic parent function?
The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).
If you flip the graph of the quadratic parent function f(x)x2 over the x-axis what is the equation of the new function?
g(x)=x^-2 thanks go like my youtube MATH VIDEOS TO GET HELP
What is the parent function for the exponential function?
The parent function of the exponential function is ax
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
Which parent function is represented by the graph?
Reciprocal parent function
