Transformations of Functions (Edexcel A-Level Mathematics): Quizzes

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Reflections
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What is the formula for reflecting f(x)f(x) in the xx-axis?

y=f(x)y = -f(x)

When reflecting in the xx-axis, point (x,y)(x, y) maps to which point?

(x,y)(x, -y)

What is the formula for reflecting f(x)f(x) in the yy-axis?

y=f(x)y = f(-x)

When reflecting in the yy-axis, point (x,y)(x, y) maps to which point?

(x,y)(-x, y)

What formula results from reflecting f(x)f(x) in both the xx-axis and yy-axis?

y=f(x)y = -f(-x)

Reflecting in both axes is equivalent to what transformation?

Rotating 180° around the origin

What is the domain of f(x)=xf(-x) = \sqrt{-x} after reflecting f(x)=xf(x) = \sqrt{x} in the yy-axis?

x0x \leq 0

What happens to yy-values when reflecting in the xx-axis?

Positive become negative and vice versa

What is f(x)=x24x+3f(x) = x^2 - 4x + 3 reflected across the xx-axis?

y=x2+4x3y = -x^2 + 4x - 3

What happens when f(x)=1xf(x) = \frac{1}{x} is reflected in both axes?

Returns to original function 1x\frac{1}{x}

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