Chapter 9, Problem 26CT

To determine

To determine the values of $a,b,c$ by looking at graph.

Answer to Problem 26CT

  $\begin{array}{l}a=-1\\ b=0\\ c=1\end{array}$

Explanation of Solution

Given information:

  

We can observe that the given graph is of parabola opening downwards.

Now we know that the equation of parabola is in the form $y=a{x}^2$

When the value of $a<0$ , then the graph opens downwards.

Further we can observe that the graph is 1 unit above on $y\text{-axis}$ .

Hence the equation can be $y=-x^2+1$

Now compare this equation with $y=a{x}^2+bx+c$

Hence we get,

  $\begin{array}{l}a=-1\\ b=0\\ c=1\end{array}$