Mathematics: Use the parabola tool to graph the quadratic function y=−2x2+12x−14 . graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

I think there are 105 in 6th grade?...

Use the parabola tool to graph the quadratic function

Ответ:

Busm6073

17.01.2022

Mathematics

Check attached graph

Step-by-step explanation:

Given equation of the parabola is y=-2x^2+12x-14 .

Nowe we need to use the parabola tool to graph the quadratic function. Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Compare Given equation with y=ax^2+bx+c we get: a=-2 and b=12

then x-coordinate of vertex $=x=-\frac{b}{2a}=-\frac{12}{2\left(-2\right)}=3$

plug x=3 into given function

y=-2x^2+12x-14

y=-2(3)^2+12(3)-14=4

Hence vertex is (3,4).

Plug any x-value say x=0 into given function to find other point

y=-2(2)^2+12(2)-14=2

Hence second point is (2,2)

now graph the parabola using both points as shown below:

Use the parabola tool to graph the quadratic function y=−2x2+12x−14 . graph the parabola by first pl

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Use the parabola tool to graph the quadratic function y=−2x2+12x−14 . graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

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