Write the quadratic in factored form given the x-int. & a point

Write a quadratic equation given the x intercepts and one other point.

Step 3: Write the equation in factored form.

Now, you know that the factors are (x-6) and (x-8) and a = -1. Write the equation of the graph in factored form.

• -(x-6)(x-8)

• -(x+6)(x+8)

• (x-6)(x+8)

• (x+6)(x-8)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)

Tags

CCSS.HSF-IF.C.7A

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

• y = -4(x - 2)(x - 4)
• y = -4(x + 2)(x + 4)
• y = 4(x - 2)(x - 4)
• y = -0.25(x - 2)(x - 4)

Write the equation of the quadratic function that has a x-intercepts at 9 and 1 and passes through the point (0, -18).

• y = x² + 9x - 18
• y = -2(x - 9)(x - 1)
• y = -2(x + 9)(x + 1)
• y = 2(x + 9)(x + 1)

In f(x) = a(x - p)(x - q), what does "a" tell us?

• The slope

• If the Parabola opens up or down

• x coordinate of the x - intercept

• y coordinate of the y - intercept

Tags

CCSS.HSF-IF.C.7A

What form of a Quadratic is this equation?

y = 3(x - 6)(x + 3)

• vertex

• standard

• Factored

If the quadratic has a positive 'a' coefficient, what direction does the parabola open?

• Up
• Down

Tags

CCSS.HSF-IF.C.7A

Write the equation of the quadratic function that has x-intercepts at -3 and 5 and passes through the point (2, -12).

• y = -2(x - 3)(x + 5)

• y = 2(x - 3)(x + 5)

• y = -2(x + 3)(x - 5)

• y = 2(x + 3)(x - 5)

Write the equation of the quadratic function that has x-intercepts at -2 and 6 and passes through the point (1, -10).

• y = 2(x - 2)(x + 6)

• y = -2(x + 2)(x - 6)

• y = 2(x + 2)(x - 6)

• y = -2(x - 2)(x + 6)

Write the equation of the quadratic function that has x-intercepts at 7 and -2 and passes through the point (3, 10).

• y = -2(x + 7)(x - 2)

• y = -2(x - 7)(x + 2)

• y = 2(x + 7)(x - 2)

• y = 2(x - 7)(x + 2)