What you wrote can be interpreted two different ways.
y = abs(x+3) or
y = abs(x) + 3
First: y= abs(x+3)
So what abs does is it makes any negative number inside the ( ) into a positive one.
The vertex of the graph is the point where the slope changes from being negative to positive. For absolute value, the vertex is the point where the argument goes from negative to positive.
for y=abs(x+3):
if x = -2; y = 1
if x = -3; y = 0
if x = -4; y = 1
So we can see that there is symmetry around (-3, 0). This would be the vertex.
for y=abs(x) + 3
if x = 1; y = 4
if x = 0; y = 3
if x = -1; y = 4
There is symmetry around the point (0,3), so this is the vertex.
3x+5=17
It is an equation in the form of: 3x+5 = 20 and the value of x works out as 5
the first step in solving the equation is to subtract the nine from the three. you will get negative 6.
One increased by two equals the quotient of nine and three.
Twenty-three times two equals forty-six. It's a multiplication equation.
5 -8
5 -8
y = x2 + 3 Since the x term is missing, the x-coordinate of the vertex is 0. If x = 0, then y = 3. Thus, (0, 3) is the vertex, the minimum point of the parabola.
An equation never equals a number, but its solution often does.-- An equation with a solution of six: [ 3x - 14 = 4 ]-- An equation with a solution of three: [ 14 - 10x = -16 ]-- An equation with both solutions: [ x2 - 9x + 20 = 2 ]An equation that equals 6 is 10 - 4 = 6An equation that equals 3 is 10 - 7 = 3
There are three main types of vertices for an absolute value function. There are some vertices which are carried over from the function, and taking its absolute value makes no difference. For example, the vertex of the parabola y = 3*x^2 + 15 is not affected by taking absolute values. Then there are some vertices which are reflected in the x-axis because of the absolute value. For example, the vertex of the absolute value of y = 3*x^2 - 15, that is y = |3*x^2 - 15| will be the reflection of the vertex of the original. Finally there are points where the function is "bounced" off the x-axis. These points can be identified by solving for the roots of the original equation. -------------- The above answer considers the absolute value of a parabola. There is a simpler, more common function, y = lxl. In this form, the vertex is (0,0). A more general form is y = lx-hl +k, where y = lxl has been translated h units to the right and k units up. This function has its vertex at (h,k). Finally, for y = albx-hl + k, where the graph has been stretched vertically by a factor of a and compressed horizontally by a factor of b, the vertex will be at (h/b,ak). Of course, you can always find the vertex by graphing, especially since you might not remember the 2nd or 3rd parts above.
3x+5=17
A linear equation in three variable.
vertex
there will be three vertex AB, BC, AC
An equation where m = 3.7
It is an equation in three unknown variables.
A vertex can be the corner of a polyhedron in which case at least three edges meet at a vertex.