Quadratic Factored Form

Which quadratic equation models the parabola shown?

• y = (x-2)(x-5)

• y = (x+2)(x+5)

• y = -(x+2)(x+5)

• y = -(x-2)(x-5)

Answer explanation

The quadratic equation that models the parabola shown is y = (x-2)(x-5). This equation represents a parabola with roots at x = 2 and x = 5, which matches the given correct answer choice.

What are the x-intercepts of the quadratic?

• (2, 0) and (4, 0)

• (-2, 0) and (-5, 0)

• (2, 0) and (5, 0)

• (-2, 0) and (-4, 0)

Answer explanation

The x-intercepts of the quadratic are (2, 0) and (5, 0). These points represent the values of x where the quadratic equation crosses the x-axis.

Which quadratic equation models the parabola shown?

• y = (x-2)(x+5)

• y = (x+2)(x+5)

• y = -(x-2)(x-5)

• y = -(x+2)(x+5)

Answer explanation

The correct quadratic equation that models the parabola shown is y = -(x-2)(x-5).

Which quadratic equation models the parabola shown below?

• y = 0.25(x-2)(x+2)

• y = -0.25(x-2)(x+2)

• y = 4(x-2)(x+2)

Answer explanation

The quadratic equation that models the parabola shown is y = 0.25(x-2)(x+2). This equation represents the correct choice as it has a positive coefficient of x^2 and opens upwards.

Which quadratic equation models the parabola shown?

• y = 2x(x-3)

• y = 2x(x+3)

• y = (x+1)(x+3)

• y = (x-1)(x+3)

Answer explanation

The quadratic equation y = 2x(x+3) models the parabola shown. It is the correct choice because it has a positive leading coefficient and opens upwards, matching the shape of the parabola.

Which graph below matches up with the equation:

y = -⅕(x+6)(x+1)

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Which graph below matches up with the equation?

y = ⅕(x+6)(x+1)

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Which graph below matches up with the equation?

y = -⅕(x-6)(x-1)

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Which graph matches up with the equation?

y = ⅕(x-6)(x-1)

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Which equation matches the x-intercepts x=5,-7 ?

• (x+5)(x-7)=0

• (x-5)(x+7)=0

• (x+5)(x+7)=0

• (x-5)(x-7)=0