Which pair of equations represents two perpendicular lines? Option A: -3x +2y = 10 and 3y = 2x +12 Option B: 2x + 5y = 45 and y
1 answer:
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System:
y ≤ -x + 4
y >
x
Notes:
1. inequalities are expressed in slope-intercept form. y = mx + b
2. the second inequality uses the greater than inequality symbol rather than the greater or equal to symbol due to the broken line.
3. All points in the shaded region will satisfy both inequalities. Point outside the shaded region will not satisfy both inequalities.
y ≤ -x + 4
y >
Notes:
1. inequalities are expressed in slope-intercept form. y = mx + b
2. the second inequality uses the greater than inequality symbol rather than the greater or equal to symbol due to the broken line.
3. All points in the shaded region will satisfy both inequalities. Point outside the shaded region will not satisfy both inequalities.
to vertically compress a function, f(x) by a factor of d, we multiply the whole function by d, so f(x) becomes d*f(x)
to shift a function to the right by c units, subtract c from every x
so f(x) becomes f(x-c)
to shift a function up by c units, add c to the whole function
so f(x) becomes f(x)+c
ok, given f(x)=5x
vertically compress by 1/4, multiply whole thing by 1/4
shift right 3 units, minus 3 from every x
shift up 2 units so add 2 to whole function
if you expand it you get