Answer:
Step-by-step explanation:
The easiest way to fill out the graph is to find the slope.
The slope is y = 2x + 1.
Insert the x values of the graph for x in the equation to find y.
y = 2(-6) + 1 = -12 + 1 = -11. (-6, -11).
y = 2(-2) + 1 = -4 + 1= -3. (-2, -3).
Then, for finding x, just insert y.
1 = 2x + 1. Subtract 1 from both sides to isolate x.
0 = 2x. x = 0. (0, 1).
y = 2(2) + 1 = 4 + 1 = 5. (2, 5)
3 = 2x + 1. Subtract 1 from both sides.
2 = 2x. x = 1. (1, 3).
The slope of this function is 2x. The y-intercept is 1. The x-intercept is -2.
Step-by-step explanation:
y > -15
y is bigger than -15
= -14 , -13 , -12 , -11 , -10 , etc . . .
Using the definition of the Vertical shifts of graphs of the function :
"Suppose c>0,
To graph y=f(x)+c, shift the graph of y=f(x) upward c units.
To graph y=f(x)-c, shift the graph of y=f(x) downward c units"
Again we recall the definition of Horizontal shifts of graphs:
" suppose c>0,
the graph y=f(x-c), shift the graph of y=f(x) to the right by c units
the graph y=f(x+c), shift the graph of y=f(x) to the left by c units. "
consider
is the parent function.
shifts the graph
upward by 8 units
shifts the graph
downward by 8 units
shifts the graph
left by 8 units
shifts the graph
right by 8 units.