Sketch, on the same diagram, the graphs of $$\(y=|3 x+2 a|\)$$ and $$\(y=|3 x-4 a|\)$$, where $$\(a\)$$ is a positive constant. Give the coordinates of the points where each graph meets the axes. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ......................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_s20_qp_21 Year:2020 Question No:4(a)

Answer:

Draw two V-shaped graphs with one vertex on negative \(x\)-axis and one vertex on positive \(x\)-axis
Draw correct graphs related correctly to each other
State correct coordinates \(-\frac{2}{3} a, 2 a, \frac{4}{3} a, 4 a\)

Knowledge points:

2.1.1 understand the meaning of |x| , sketch the graph of y = |ax + b| and use relations such as |a| = |b| a - b < x < a + b when solving equations and inequalities (Graphs of and for non-linear functions are not included.)

Solution:

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