Question

Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the given function?
y = │6x – 2│ – 7

A) (one over three, 7); x = one over three; translated to the right one over three unit and up 7 units
B) (one over three, 7); x = one over three; translated to the left one over three unit and down 7 units
C) (one over three, –7); x = one over three; translated to the right one over three unit and down 7 units
D) (one over three, –7); x = one over three; translated to the left one over three unit and up 7 units

Answer 1

Answer:

C) (one over three, –7); x = one over three; translated to the right one over three unit and down 7 units

Step-by-step explanation:

We are given the function y = | 6x - 2 | - 7.

It is clear that this is an absolute value function i.e. y = |x| after applying some translations i.e. shifting the figure to any direction.

We know that, 'axis of symmetry' is the vertical line that separates the graph into two equal halves and 'vertex' is the end-point of the function on the axis of symmetry.

As we see from the given function, after plotting the vertex comes out to be (0.33,-7) = ($\frac{1}{3}$, -7) and the axis of symmetry is x = 0.33 = $\frac{1}{3}$.

Also, the function y = |x| has been translated $\frac{1}{3}$ = 0.33 units to the right and 7 units down, as seen below.

Answer 2

The answe is C. Because its translated 1/3 right and down 7.