Question

Use the calculator to graph the function y = 2x2 25x + 3. What are the coordinates of the turning point of the graph to the nearest hundredth?

Answer 1

Use the calculator to graph the function y = $2x^2+ 25x + 3$

In the graph , the coordinates of the vertex is the turning point of the graph.

Given function is the quadratic function. For quadratic function the graph will be U shaped parabola.

There will be only one turning point for parabola

Turning point is the vertex

To find vertex we use formula x= $\frac{-b}{2a}$

y = $2x^2+ 25x + 3$

a=2, b= 35

$x =\frac{-25}{2*2} =\frac{-25}{4}$ = -6.25

Now plug in $\frac{-25}{4}$ in f(x)

$y= 2(\frac{-25}{4})^2+ 25(\frac{-25}{4}) + 3$

Take common denominator

$y= \frac{625}{8}+ (\frac{-625}{4}) + 3 =\frac{625-1250+24}{8} =-\frac{601}{8}$ = -75.125

So coordinates of turning point is (-6.25, -75.13)

The graph is attached below.

Answer 2

Answer:

(6.25, -75.13)

Step-by-step explanation:

I did it on Edgenuity