graph the function f(x) = 8x². plot the vertex. then plot another point on the parabola. if you make a…

graph the function f(x) = 8x². 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) = 8x². 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 formula for parabola

For a parabola of the form $y = ax^{2}+bx + c$, the x - coordinate of the vertex is $x=-\frac{b}{2a}$. In the function $f(x)=8x^{2}$, $a = 8$, $b = 0$, $c = 0$. So, $x=-\frac{0}{2\times8}=0$.

Step2: Find y - coordinate of vertex

Substitute $x = 0$ into $f(x)=8x^{2}$. Then $f(0)=8\times0^{2}=0$. So the vertex is $(0,0)$.

Step3: Find another point

Let's choose $x = 1$. Substitute $x = 1$ into $f(x)=8x^{2}$. Then $f(1)=8\times1^{2}=8$. So another point is $(1,8)$.

Answer:

Vertex: $(0,0)$; Another point: $(1,8)$