Where is the corner point of the graph of y = the absolute value of (x…

Question

Where is the corner point of the graph of y = the absolute value of (x - 3), plus 4?

Accepted Answer

B. At the point (3, 4)

1. The basic absolute value graph turns at the origin.
2. Subtracting 3 inside the bars shifts the whole graph right 3 units.
3. Adding 4 outside the bars shifts the whole graph up 4 units.
4. So the corner point moves from the origin to (3, 4).
_Source: OpenStax College Algebra (CC BY 4.0), section 3.6 Absolute Value Functions_

Answer

At the point (4, 3)

Answer

At the point (-3, 4)

Answer

At the point (3, -4)

Where is the corner point of the graph of y = the absolute value of (x - 3), plus 4?

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