graph the function f(x) = x^2. plot the vertex. then plot another point on the parabola. if you make a…

graph the function f(x) = x^2. 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) = x^2. 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 $y = ax^{2}+bx + c$, in $f(x)=x^{2}$, $a = 1$, $b = 0$, $c = 0$. The x - coordinate of the vertex is $x=-\frac{b}{2a}=0$. Substitute $x = 0$ into $f(x)$: $f(0)=0^{2}=0$. So the vertex is $(0,0)$.

Step2: Find another point

Let's choose $x = 2$. Substitute $x = 2$ into $f(x)$: $f(2)=2^{2}=4$. So another point is $(2,4)$.

Answer:

Vertex: $(0,0)$; Another point: $(2,4)$