WK26 Wednesday Warm-Ups

Examine the graph. Which best describes the transformation from f(x) to g(x)?

f(x) shifts _____ (right, left, up, down) ___ units to form g(x).

(a)  

Answer explanation

The vertex of f(x) is at the origin (0, 0) and shifts down 4 units to form g(x), which has a new vertex of (0, -4).

Examine the graph. Which best describes the transformation from f(x) to g(x)?

f(x) shifts _____ (right or left) ___ units and _____ (up or down) ___ units to form g(x).

(a)  

Answer explanation

Look at the vertex of f(x), which starts at the origin. Then the vertex shifts left 2 units b/c it lines up with -2 on the x-axis. The vertex also shifts up 1 unit b/c it lines up with the y-axis at 1.

The original equation is y = x + 3.

Which equation will shift the graph of the original down 5 units?

*Hint - use DESMOS

• y = x - 5

• y = x -2

• y = x + 8

• y = x + 2

Answer explanation

Use desmos to graph the original and answer. Visually you will see that it shifts down 5 units.

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