Functions (quadratic)

A quadratic function of the form y = ax²+bx+c has zeros at x = -3 and x = 7. Based on this information, determine the values of a, b, and c.

• a = -3, b = 7, c = 0

• a = 1, b = -3, c = 7

• a = 1, b = -4, c = -21

• a = 1, b = -3, c = -4

Write the following quadratic expression in vertex form

x² - 10x - 4

• (x - 5)² - 29

• (x - 5)² - 21

• (x + 5)² + 14

• (x + 5)² - 29

Write the equation for the quadratic in vertex form.

• $y=\left(x-3\right)^2$

• $y=\left(x+3\right)^2$

• $y=\left(x+3\right)\left(x-3\right)$

• $y=x-3$

Convert the equation        y= x² - 2x - 5 into vertex form. 

• y= (x-1)²-6
• y= -(x-1)²-6
• y= (x+1)²-6
• y= -(x+6)²-1

Write an equation in Standard form, whose solutions are 7 and 3. (Use the factored form you just found on the last problem)

• y = x²-10x+21

• y = x²+10x+21

• y = x²+4x+21

• y = x²-4x+21

What is the equation in vertex form?

• y = -4(x + 3)² - 4
• y = -4(x - 3) - 4
• y = -4(x + 3)² + 4
• y = -4(x - 3)² - 4

Write a quadratic function in standard form whose graph is shown.

Write a quadratic function in factored form with zeros at x = 1, 9 that passes through the point (7, -3)

• f(x) = 4(x - 1)(x - 9)

• f(x) = (1/4)(x - 1)(x - 9)

• f(x) = (-1/4)(x - 1)(x - 9)

• f(x) = -4(x - 1)(x - 9)

The standard form of a quadratic function is

• y = ax² + bx + c

• a(x - h)² + k

• y - y₁ = m(x - x₁)

• Ax + By = C