What we have been given here are two points.
f(3) = -4 is the same as (3, -4)
f(2) = 6 is the same as (2, 6)
We can then use these two points to find the equation of a line.
Step 1: Find the slope
Slope Formula: (y2 - y1) / (x2 - x1)
Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10
Step 2: Find the y-intercept
To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.
Slope-Intercept Form: y = mx + b
Point = (2, 6)
6 = 2(-10) + b
6 = -20 + b
b = 26
Step 3: Create the equation of the line
Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.
y = -10x + 26
Answer: y = -10x + 26
Hope this helps!
Divide both sides of the inequality by 4 but don’t flip the symbol.
You only flip the inequality symbol if you divide by a negative number.
If you’re solving for x (which you are), you want to get x by itself. The only way to do that is to divide by 4.
9514 1404 393
Answer:
- vertical stretch: the function value (f) is multiplied by the stretch factor
- horizontal stretch: the variable (x) is divided by the stretch factor
Step-by-step explanation:
A stretch can be vertical, horizontal, or both.
Multiplying the function value by a factor greater than 1 will stretch the graph vertically.
Dividing the variable value by a factor greater than 1 will stretch the graph horizontally.
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The graph is stretched by the factor according to how it is applied.