The black graph is the graph of y=f(x). Choose the equation for the red graph. Please help me!!!
2 answers:
Answer:
B
Step-by-step explanation:
The red graph is a horizontal translation of 5 units left followed by a reflection in the x- axis.
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
The black graph is shifted 5 units left, thus
f(x) → f(x + 5)
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Note that the y- coordinate of the image is the negative of the original
Note also that = - y, thus
= f(x + 5) → B
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Answer:
see explanation
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = 2,4 ) and (x₂, y₂ ) = (5, 1)
m = =
= - 1 ← negative slope
Repeat
with (x₁, y₁ ) = - 7,8) and (x₂, y₂ ) = (- 7, 0)
m = =
Division by zero is undefined, thus slope is undefined.
Repeat with
(x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (- 4, - 3)
m = =
= 0 ← zero slope
Repeat with
(x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 1, 2)
m = =
=
← positive slope