Here’s one.
Matt was gifted $200 from his parents for his birthday. His friend gave him $100. How much money does Matt have now?
200+100=300
Matt has $300.
Answer:
C.) Begin at 74. Travel 19 units to the right.
Step-by-step explanation:
You begin at 74 because that is the number the equation is starting out with. You travel to the right because you are adding 19 units.
Answer:
y - 2 = -1/3 (x + 3)
Step-by-step explanation
Sorry!
Point-slope form )
Slope = (-1 -2)/(6 - (-3)
Slope = -3/9
Slope = -1/3
Using the point-slope formula and point (-3, 2)
y - 2 = -1/3(x - (-3)
y - 2 = -1/3 (x + 3) This is = to y = -1/3(x + 3) +2
Answer:
y = 4x + 14
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x + 7 ← is in slope- intercept form
with slope m = 4
• Parallel lines have equal slopes , then
y = 4x + c ← is the partial equation
to find c substitute (- 3, 2 ) into the partial equation
2 = - 12 + c ⇒ c = 2 + 12 = 14
y = 4x + 14 ← equation of parallel line
The parent function is the simplest form of the type of function given.
f(x)=x^2
The transformation being described is from f(x)=x^2
to g(x)=(x−5)^2+3
******************************************************************************
By definition,
.
f(x)=x^2→g(x)=(x−5)^2+3
The horizontal shift depends on the value of h. The horizontal shift is described as:
g(x)=f(x+h) - The graph is shifted to the left h units.
g(x)=f(x−h) - The graph is shifted to the right h units.
Hence, in the question above, Horizontal Shift: Right 5 Units
The vertical shift depends on the value of k. The vertical shift is described as:
g(x)=f(x)+k - The graph is shifted up k units.
g(x)=f(x)−k - The graph is shifted down k units.
Therefore, in the question above, Vertical Shift: Up 3 Units
The graph is reflected about the x-axis when g(x)=−f(x)
.
Reflection about the x-axis: None
The graph is reflected about the y-axis when g(x)=f(−x)
.
Reflection about the y-axis: None
Compressing and stretching depends on the value of 'a'
.
When 'a' is greater than 1 : Vertically stretched
When 'a' is between 0 and 1 : Vertically compressed
Vertical Compression or Stretch: None
****************************************************************************
Comparing and listing the transformations as follows:
Parent Function: f(x)=x^2
Horizontal Shift: Right 5 Units
Vertical Shift: Up 3 Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None
