3. a Copy and complete the table for the graph of y=x^2-2 x-8 for -3 ⩽ x ⩽ 5. Use your table to

First, we need to complete the table by substituting each x-value into the equation ( y=x^{2}-2

Question

3. a Copy and complete the table for the graph of \( y=x^{2}-2 x-8 \) for \( -3 \leqslant x \leqslant 5 \). Use your table to plot the graph. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline\( x \) & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline\( y \) & & & & & & -8 & & & \\ \hline \end{tabular} b Find the roots of the equation \( x^{2}-2 x-8=0 \) c Use your graph to find the value of \( y \) when \( x=0.5 \). d Use your graph to solve the equation \( x^{2}-2 x-8=3 \).

          3. a Copy and complete the table for the graph of \( y=x^{2}-2 x-8 \) for \( -3 \leqslant x \leqslant 5 \). Use your table to plot the graph.
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}
\hline\( x \) & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 \\
\hline\( y \) & & & & & & -8 & & & \\
\hline
\end{tabular}
b Find the roots of the equation \( x^{2}-2 x-8=0 \)
c Use your graph to find the value of \( y \) when \( x=0.5 \).
d Use your graph to solve the equation \( x^{2}-2 x-8=3 \).

3. a Copy and complete the table for the graph of y=x^2-2 x-8 for -3 ⩽ x ⩽ 5. Use your table to plot the graph.

x -3 -2 -1 0 1 2 3 4 5

y -8

b Find the roots of the equation x^2-2 x-8=0
c Use your graph to find the value of y when x=0.5.
d Use your graph to solve the equation x^2-2 x-8=3.

Added by Cathy W.

Elementary and Intermediate Algebra

Marvin L. Bittinger, David J.… 4th Edition

Chapter 13

Instant Answer

Solved by Expert Will Cadelina

06/12/2020

Step 1

When \( x = -3 \), \( y = (-3)^{2}-2(-3)-8 = 9+6-8 = 7 \) When \( x = -2 \), \( y = (-2)^{2}-2(-2)-8 = 4+4-8 = 0 \) When \( x = -1 \), \( y = (-1)^{2}-2(-1)-8 = 1+2-8 = -5 \) When \( x = 0 \), \( y = (0)^{2}-2(0)-8 = -8 \) When \( x = 1 \), \( y = Show more…

Show all steps