Sketch graphs of all three relations on the same set of axes. Label the $$ x $$-intercepts, vertex, and axis of symmetry for each parabola. Then, describe the similarities and differences between the graphs. $$ y=(x-4)(x-8) $$ $$ y=\frac{1}{2}(x-4)(x-8) $$ $$ y=\frac{1}{4}(x-4)(x-8) $$

Question

UpStudy AI · Accepted Answer

The three parabolas have the same x-intercepts at $$ x = 4 $$ and $$ x = 8 $$ and axis of symmetry at $$ x = 6 $$. The vertex heights decrease from $$ -4 $$ to $$ -1 $$ as the coefficient in front of the factored form decreases. The parabolas become wider as the coefficient decreases.

Sketch graphs of all three relations on the same set of axes. Label the \( x \)-intercepts, vertex, and axis of symmetry for each parabola. Then, describe the similarities and differences between the graphs. \( y=(x-4)(x-8) \) \( y=\frac{1}{2}(x-4)(x-8) \) \( y=\frac{1}{4}(x-4)(x-8) \)

UpStudy ThothAI Solution

Quick Answer

Step-by-step Solution

Sketch graphs of all three relations on the same set of axes. Label the \( x \)-intercepts, vertex, and axis of symmetry for each parabola. Then, describe the similarities and differences between the graphs. \( y=(x-4)(x-8) \) \( y=\frac{1}{2}(x-4)(x-8) \) \( y=\frac{1}{4}(x-4)(x-8) \)

UpStudy ThothAI Solution

Quick Answer

Step-by-step Solution

Related Questions