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

Part 1) The function of the First graph is

Part 2) The function of the Second graph is

Part 3) The function of the Third graph is

See the attached figure

Step-by-step explanation:

we know that

The quadratic equation in factored form is equal to

where

a is the leading coefficient

c and d are the roots or zeros of the function

Part 1) First graph

we know that

The solutions or zeros of the first graph are

x=-1 and x=3

The parabola open up, so the leading coefficient a is positive

The function is equal to

Find the value of the coefficient a

The vertex is equal to the point (1,-4)

substitute and solve for a

therefore

The function is equal to

Part 2) Second graph

we know that

The solutions or zeros of the first graph are

x=-3 and x=1

The parabola open down, so the leading coefficient a is negative

The function is equal to

Find the value of the coefficient a

The vertex is equal to the point (-1,8)

substitute and solve for a

therefore

The function is equal to

Part 3) Third graph

we know that

The solutions or zeros of the first graph are

x=-2 and x=6

The parabola open up, so the leading coefficient a is positive

The function is equal to

Find the value of the coefficient a

The vertex is equal to the point (2,-8)

substitute and solve for a

therefore

The function is equal to

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6