Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

please answer!!

Use the parabola tool to graph the quadratic function.

f(x)=3x^2+6x−24

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Please Answer Use The Parabola Tool To Graph The Quadratic Function Fx3x26x24 Graph The Parabola By First Plotting Its Vertex And Then Plotting A Second Point O class=

Sagot :

Answer:

See below

Step-by-step explanation:

[tex]f(x)=3x^2+6x-24\\\\f(x)=3(x^2+2x-8)\\\\f(x)+3(9)=3(x^2+2x-8+9)\\\\f(x)+27=3(x^2+2x+1)\\\\f(x)=3(x+1)^2-27[/tex]

Here, we can see that the vertex of the parabola is [tex](-1,-27)[/tex] when we compare to the equation [tex]y=(x-h)^2+k[/tex] with vertex [tex](h,k)[/tex].

A second point you could plot is the y-intercept, when [tex]x=0[/tex]:

[tex]f(0)=3(0+1)^2-27\\\\f(0)=3-27\\\\f(0)=-24[/tex]

So, your y-intercept is [tex](0,-24)[/tex].

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.