Niahenderson7161idn
Answered

IDNLearn.com offers a comprehensive solution for all your question and answer needs. Discover in-depth and trustworthy answers from our extensive network of knowledgeable professionals.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each quadratic graph to its respective function,
-2(x - 1)(x + 3)
()
(3 + 3)(3 – 1)
(4)
(I - 3)(x + 1)
f(1) = 0.5(x + 6)(x - 2)
7(4) = 0.5(4 - 6)(x + 2)
2(x + 6) (3 - 2)

Drag The Tiles To The Correct Boxes To Complete The Pairs Not All Tiles Will Be Used Match Each Quadratic Graph To Its Respective Function 2x 1x 3 3 33 1 4 I 3x class=

Sagot :

Answer: first graph is F(x) = 0.5(x-6) (x+2)

Second graph f(x) = (x - 3) ( x + 1 )

Third graph f(x) = -2(x - 1) (x + 3 )

Step-by-step explanation:

Type functions into Desmos graphing calculator and it will plot the points for you.

PLATO

View image Reese2075
AshishdwivedilVTidn

The required quadratic function shown in the graph is

f(x)=0.5(x+2)(x-6).

Let us suppose the quadratic function

[tex]f(x)=a(x-\alpha )(x-\beta )[/tex]......(1)

where α and β are roots of the quadratic equation f(x)=0

What is a quadratic equation?

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a≠0

From the shown graph we can see the roots of f(x)=0 as:

[tex]\alpha =-2[/tex]

[tex]\beta =6[/tex]

So, (1) becomes [tex]f(x)=a(x+2 )(x-6 )[/tex].....(2)

Since the graph is intersecting the y-axis at (0, -6)

So,  (0, -6) will satisfy the (2)

So put x=0 and f(x)= -6 in (2)

[tex]-6=a(0-2)(0-6)[/tex]

[tex]a=\frac{-1}{2}=0.5[/tex]

So, [tex]f(x)=0.5(x+2 )(x-6 )[/tex]

Thus, the required quadratic function shown in the graph is

f(x)=0.5(x+2)(x-6).

To get more about quadratic equations visit:

https://brainly.com/question/1214333

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.