niahenderson7161
contestada

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=

Respuesta :

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

Ver imagen reese2075
ashishdwivedilVT

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

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