Practice With Standard, Vertex, and Factored Form

Turn the following quadratic function from standard form into factored form:

• y = (x - 15)(x + 4)

• y = (x - 6)(x + 10)

• y = (x - 6)(x - 10)

• y = (x +30)(x - 2)

Which graph below matches up with the equation:

y = -⅕(x+6)(x+1)

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• 
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Write the equation of the graph in factored form.

• (x-4)(x+3)=0

• -(x+3)(x-4)=0

• (x+4)(x-3)=0

• -(x-3)(x+4)=0

Select all the potential factors of the given graph.

• (x+3)

• (x-3)

• (x-8)

• (x+8)

• x

What is the equation for this parabola in factored form?

• y=(x+2)(x-1)

• y=(x-2)(x+1)

• y=(x-2)(x-1)

• y=(x+2)(x+1)

Convert y = (x-5)² -1
to factored form.

• y= (x-4)(x-6)

• y= (4x-2)(x+6)

• y= (x-12)(x+3)

• y = (x-4)(x+6)

What form is this equation?

x² + 5x - 7 = 0

• Vertex Form

• Standard Form

• Factored Form

Determine the vertex from the following equation: -3\left(x-4\right)^2+1 Does it open up or down?

• Vertex: (4,1)

  Opens down

• Vertex: (-4, -1)

  Opens up

• Vertex: (4, -1)

  Opens down

• Vertex: (-4, 1)

  Opens up

Does this parabola have a maximum or minimum?

• Maximum

• Minimum

Does the quadratic have a max/min vertex, and does the parabola open up/down?

• max/ opens down

• min/ opens up

• max/ opens up

• min/ opens down