<h3>
Answer:</h3>
y = (x +2)(x -1)(x -3) . . . . or . . . . y = x³ -2x² -5x +6
<h3>
Step-by-step explanation:</h3>
The graph shows y=0 at x=-2, x=1, and x=3. These are called the "zeros" or "roots" of the function, because the value of the function is zero there.
When "a" is a zero of a polynomial function, (x -a) is a factor. This means the factors of the graphed function are (x -(-2)), (x -1) and (x -3). The function can be written as the product of these factors:
... y = (x +2)(x -1)(x -3) . . . . . the equation represented by the graph
Or, the product can be multiplied out
... y = (x +2)(x² -4x +3)
... y = x³ -2x² -5x +6 . . . . . the equation represented by the graph
I think a non- integer rational number but I’m not real sure on that.
Step-by-step explanation:
we see f(x), which is |x|.
and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.
shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.
so, a shift down by 3 units is done by adding -3.
therefore, C is the correct answer (the original f(x) - 3).
Parallel lines have the same slope. for example, the two lines y = 6x + 3 and
y = 6x - 5 are parallel because they have the same slope, 6x.
the slopes of perpendicular lines are opposite reciprocals, which means that you would flip the numbers of the fraction and make it negative. for example, the opposite reciprocal of -3x is 1/3x.
also, parallel lines never intersect, whereas perpendicular lines intersect at a 90 degree angle.
therefore, it isnt possible for two lines to be both parallel and perpendicular.
First is B, since 1 and 3 are corresponding angles, they must be equal
Next is I, 3 and 5 must be equal since they are vertically opposite
Last is transitive property
Since 1 = 3 and 3 = 5, then 1 must equal 5
