Question

Plz help me with this

Answer 1

f(x) = (x - 2)² + 1

Explanation:

Given f(x), then

• f(x ± a) denotes a horizontal translation parallel to the x- axis

If a > 0 then translation to the left ←

If a < 0 then translation to the right →

• f(x) ± c denotes a vertical translation parallel to the y- axis

If c > 0 then translation upwards ↑

If c < 0 then translation downwards ↓

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Thus a shift 2 units to the right is (x - 2)²

A shift of 1 unit up is (x - 2)² + 1

Hence combined transformation is f(x) = (x - 2)² + 1

Answer 2

Answer: b) f(x) = (x - 2)² + 1

Explanation:

The vertex form of a quadratic equation is: f(x) = (x - h)² + k

where (h, k) is the vertex. The h-value represents the horizontal shift (negative is left and positive is right) and the k-value represents the vertical shift (positive is up and negative is down).

2 units RIGHT and 1 unit UP means: f(x) = (x - 2)² + (1)