Question

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.

Answer 1

Answer:

(x,12x-18)

Step-by-step explanation:

Answer 2

Answer:

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: