Writing Equations for Quadratic given key features

Write a quadratic equation in standard form with the given roots: -2, -5 and a = 1

• x² - 3x - 10

• x² + 7x + 10

• x² - 7x + 10

• x² + 2x - 10

Which equation has a vertex of (-3, 4) and contains the point (4, 102)?

• y = 2(x + 3)² + 4

• y = (x + 3)² - 4

• y = (x - 3)² + 4

• y = 2(x - 3)² + 4

Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and passes through the point (8, 3)?

• f(x) = 1/4(x - 4)² - 1

• f(x) = 4(x - 4)² - 1

• f(x) = 4(x + 4)² - 1

• f(x) = 1/4(x + 4)² - 1

What is the equation in vertex form?

• y = -4(x + 3)² - 4

• y = -4(x - 3)² - 4

• y = -4(x + 3)² + 4

• y = -4(x - 3)² + 4

Which function’s graph has a vertex at (3, 5) and contains the point (5, 13)?

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Which is the correct vertex form? 

• f(x)=a(x+h)²+k

• f(x)=a(x-h)²-k

• f(x)=a(x+h)²-k

• f(x)=a(x-h)²+k

Which function is equivalent to
y = x² - 6x + 10?

• y = (x + 3)² - 1

• y = (x - 3)² + 1

• y = (x + 6)² - 10

• y = (x - 6)² + 10

Write y = x² + 4x - 1 in vertex form.

• y = (x - 2)² + 5

• y = (x + 2)² - 5

• y = (x + 2)² - 1

• y = (x +2)² + 3

Write the equation in factored form:

y = x² + 10x + 24

• y = (x + 8)(x + 3)

• y =(x + 6)(x + 4)

• y =(x + 12)(x - 2)

• y =(x + 12)(x + 2)

Write the equation in factored form:

y = 2x² - 7x + 6

• y =(x -1)(2x - 6)

• y =(x - 3) (2x - 2)

• y =(x - 2) (2x - 3)

• y =(x - 6) (2x - 1)