graph the function f(x) = x². plot the vertex. then plot another point on the parabola. if you make a…

graph the function f(x) = x². plot the vertex. then plot another point on the parabola. if you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.

graph the function f(x) = x². plot the vertex. then plot another point on the parabola. if you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.

Answer

Explanation:

Step1: Identify vertex

For the quadratic function $f(x)=x^{2}$, the general form of a quadratic function is $y = a(x - h)^{2}+k$, where $(h,k)$ is the vertex. Here $a = 1$, $h = 0$, $k = 0$. So the vertex is $(0,0)$.

Step2: Find another point

Let's choose $x = 1$. Substitute $x = 1$ into $f(x)=x^{2}$, then $f(1)=1^{2}=1$. So another point is $(1,1)$.

Answer:

Vertex: $(0,0)$; Another - point: $(1,1)$ (Plot these points on the given graph to graph the function $y = x^{2}$)