Quadratic Equations Given Two Points

What are the green points called?

• axis of symmetry

• vertex

• y-intercept

• x-intercepts

Determine the x-intercepts

• (8,0) and (4,0)

• (8,0) and (-4,0)

• (-8,0) and (4,0)

• (.25,0) (8,0) and (-4,0)

Which of the following is the correct equation for the given graph?

• y = (x - 2)² - 1

• y = -(x + 2)² - 1

• y = (x + 2)² - 1

• y = -(x - 2)² - 1

Write the equation of the quadratic function that has a x-intercepts at (2, 0) and (4, 0) 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 a quadratic equation given the x intercepts and one other point. Put the steps together. Find the factors. Solve for a by substituting in the extra point. Write the equation in factored form. The roots of the function are (-3, 0) and (5, 0). The point (4, -3) is also on the graph.

• y=4(x+3)(x-5)

• y=3/7(x-3)(x+5)

• y=-3(x-3)(x+5)

• y=3/7(x+3)(x-5)

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

Put the steps together.

1. Find the factors.
2. Solve for a by substituting in the extra point.
3. Write the equation in factored form.

The roots of the function are (-3, 0) and (5, 0).

The point (4, -3) is also on the graph.

• y=4(x+3)(x-5)

• y=3/7(x-3)(x+5)

• y=-3(x-3)(x+5)

• y=3/7(x+3)(x-5)

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 a quadratic equation given the x intercepts and one other point. Put the steps together. Find the factors. Solve for a by substituting in the extra point. Write the equation in factored form. The roots of the function are (-3, 0) and (5, 0). The point (4, -3) is also on the graph.

• y=4(x+3)(x-5)

• y=3/7(x-3)(x+5)

• y=-3(x-3)(x+5)

• y=3/7(x+3)(x-5)

What are the x-intercepts (solutions)?

• (-2,0) and (2,0)

• (0,-4)

• (-2,-4) and (2,-4)

What is the range of this function?

• All real numbers.

• All real numbers greater than or equal to 0.

• All real numbers greater than or equal to -2.

• All real numbers greater than or equal to 2.