Question

URGENT!! HOMEWORK DUE TONIGHT!!

A dilation of a linear function will have a slope that is steeper or less steep than the slope of a parent function.

True or False

Answer 1

Step-by-step explanation: Stretches and compression change the slope of a linear function.

If the line becomes steeper, the function has been stretched vertically or compressed horizontally.

If the line becomes flatter, the function has been stretched horizontally or compressed vertically.

Horizontal Stretch/Compression by a factor of b

f(x)→ f(1• f(x→f(1 bx) • b > 1 stretches away from the y-axis.

• 0 < |b| < 1 compresses toward the y-axis.

• y-intercepts remain the same.

Vertical Stretch/Compression by a factor of a

• f(x) → a f(x) • a > 1 stretches away from the x-axis.

• 0 < |a| < 1 compresses toward the x-axis.

• x-intercepts remain the same.Stretches and compression's change the slope of a linear function.

If the line becomes steeper, the function has been stretched vertically or compressed horizontally.

If the line becomes flatter, the function has been stretched horizontally or compressed vertically.

Horizontal Stretch/Compression by a factor of b

• f(x)→f(1 bx) • b > 1 stretches away from the y-axis.

• 0 < |b| < 1 compresses toward the y-axis.

• y-intercepts remain the same.

Vertical Stretch/Compression by a factor of a

• f(x) → a f(x) • a > 1 stretches away from the x-axis.

• 0 < |a| < 1 compresses toward the x-axis.

• x-intercepts remain the same.Stretches and compression change the slope of a linear function.

If the line becomes steeper, the function has been stretched vertically or compressed horizontally.

If the line becomes flatter, the function has been stretched horizontally or compressed vertically.

Horizontal Stretch/Compression by a factor of b

• f(x)→f(1 bx) • b > 1 stretches away from the y-axis.

• 0 < |b| < 1 compresses toward the y-axis.

• y-intercepts remain the same.

Vertical Stretch/Compression by a factor of a

• f(x) → a f(x) • a > 1 stretches away from the x-axis.

• 0 < |a| < 1 compresses toward the x-axis.

• x-intercepts remain the same.

Answer 2

Answer is False

Reason

When we use dilation scale factors, we can shrink or expand a figure. We know each angle is congruent, or the same. We know each segment is proportional, the slope of each segment is maintained, and the perimeter of the preimage and image have the same scale factor.
Slope does not change. See example attached.