It is a hyperbola, it is in quadrants I and II
y = 1/x
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.
A parent function refers to the simplest function as regards sets of quadratic functions
x2
y = x2 is the parent function, but it can be in the form y = ax2 + bx + c
Parabal
vertex
The global minimum value is always negative infinity.
The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).
g(x)=x^-2 thanks go like my youtube MATH VIDEOS TO GET HELP
The parent function of the exponential function is ax
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
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
Reciprocal parent function