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What things are significant about the vertex of a quadratic function?
It is a turning point. It lies on the axis of symmetry.
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
In a quadratic function if two x-coordiantes are equidistant from the axis of symmetry then will they have the same y coordinate?
Yes, they will.
What is a figure that has point symmetry but not line symmetry?
The letters S and N have point symmetry but not line symmetry.
Which point is not located on the xaxis or the yaxis of a coordinate grid?
Which point is not located on the xaxis or the yaxis of a coordinate grid?Read more:Which_point_is_not_located_on_the_xaxis_or_the_yaxis_of_a_coordinate_grid
What are even and odd functions?
An even function is a function that creates symmetry across the y-axis. An odd function is a function that creates origin symmetry.
What is the value of the coordinate of every point on the xaxis?
It is called the ordinate.
What is the symmetry of the secant function?
y-axis
What is the axis of symmetry of a quadratic equation?
If a quadratic function has the points (-4,0) and (14,0), what is equation of the axis of symmetry?
What kind of symmetry does an odd function have?
Reflection about the y-axis.
When your independent variable is plotted on the xaxis and the dependent variable is plotted on the yaxis?
.... then your graph is inverted.
What kind of symmetry indicates that a function will not have an inverse?
If a function is even ie if f(-x) = f(x). Such a function would be symmetric about the y-axis. So f(x) is a many-to-one function. The inverse mapping then is one-to-many which is not a function. In fact, the function need not be symmetric about the y-axis. Symmetry about x=k (for any constant k) would also do. Also, leaving aside the question of symmetry, the existence of an inverse depends on the domain over which the original function is defined. Thus, y = f(x) = x2 does not have an inverse if f is defined from the real numbers (R) to R. But if it is defined from (and to) the non-negative Reals there is an inverse - the square-root function.
Where can you find symmetry?
you can find a line of symmetry when the shape can be folded and not cross over
What is the axis of symmetry of the function shown in the graph?
I regret that I can see no function shown.
What is the definition of Horizontal Symmetry?
This is my own definition of horizontal symmetry (no source)- Symmetry to describe a figure that is symmetrical after being reflected over a horizontal line.
What is the vertex and the line of symmetry for fx equals 5xsquared?
Vertex = (0,0) Line of symmetry = y axis You should of known that as this function is only X^2
