One way to check is of course to plot the given function. You'll see it has an axis of symmetry at y-axis.
Another way is to replace x with -x. If the resulting function is the same as the original, it has an axis of symmetry at the y-axis. Like, in the given function,
f(x) = x^4
f(-x) = (-x)^4
f(-x) = x^4 = f(x)
Please explain to me orgin of symmetry, y-axis semmetry, or if its neither. 1. Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. f(x) = 4x^2 - x^3 -this is how I did it:
find the slant asymptote of the graphof the rational function. 1.f(x)=x^2-x-2/x-7 y=? 2. determine the symmetry of the graph of f. a. the graph has y-axis symmetry f(-x)=f(x) b. the graph has orgin symmetry f(-x)= -f(x) c. the
All parabolas are symmetric with respect to a line called the axis of symmetry. A parabola intersects its axis of symmetry at what point? a. vertex b. function c. translation d. y-intercept Is it A. vertex?
Find the axis of symmetry for y=x^2+4x-7 Find the axis of symmetry for y=3x^2-18x+1 Find the axis of symmetry for y=5x^2+10+3 Determine if the vertex is a maximum or minimum and identify it y=2x^2-3 Determine etc etc for y=-x^2-2x
Okay this is what i have to do but i think i am doing something wrong. directions are: Identify the axis of symmetry, create a suitable table of values, and sketch the graph (including the axis of symmetry). The problem is: y =
Here is the whole question... I have figured most of it out but I need help with part (b)(f) and (g)... Maybe you also check the work I have already done Given the following function, find: (a) vertex, (b) axis of symmetry, (c)
The formula is y=ax^2+bx+c I also gave the wrong problems, they are... 1. y=x^2-4x 2. y=-x+1 3. y=x+1 4. y=2x^2 well for number one you said it was y = -x^2 +1 when you graph it here are three points (-1,0), (0,1),(1,0) so you
Please check my answers. Also, can I see some graphs of y-axis symmetry, orgin of symmetry, or neither? Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. f(x) = 4x^2 - x^3 -My answer:
I don't understand my problems that I am suppose to do. please help. Write the equation of a polynomial function with the given characteristics. Use a leading coefficient of 1 or -1 and make the degree of the function as small as