Functions
Graph Identification
MMTS_Full_Test_18
Grade 12
Question:
Which of the following is the graph of the curve $\sqrt{|y|}=x$?
Option 1 (asterisk shape)
Option 2 (sideways parabola shape)
Option 3 (single branch right)
Option 4 (upward spikes)
Step-by-Step Solution
Key Concept: $\sqrt{|y|}=x\Rightarrow|y|=x^2\Rightarrow y=\pm x^2$, only for $x\ge 0$
$y=\pm x^2$ for $x\ge 0$: two parabola branches opening up and down from origin rightward. This matches option 2.
Correct Answer: 2