Functions (quadratic)

Write the equation of the quadratic function in Intercept Form using the x-intercepts and ANY point on the graph.. Remember: Intercept form is written as y = a(x-p)(x-q)

• y = (x - 1)(x + 3)

• y = (x + 1)(x - 3)

• y = 2(x + 1)(x - 3)

• y = 2(x - 1)(x + 3)

Which of the following is Factored Form?

A quadratic function has zeros of 5 and 4 and contains the point (1, 36) Which of the following shows the function in factored form. x² - 9x + 20 = 0

Find the vertex form and the intercept form of the quadratic:
y = x² + 4x + 3

• y = (x-2)² -15
  y = (x+1)(x-3)
• y = (x+2)² + 15
  y = (x-1)(x+3)
• y = (x-2)² + 15
  y = (x+1)(x+3)
• y = (x+2)² + 15
  y = (x-1)(x-3)

Find the equation of a parabola with vertex (0, -3) that passes through point (4, -1).

• y = ¹/₈x² - 3
• y = ¹/₈x² -1
• y = ¹/₈x² + 3
• y = ¹/₈x² - 2

f(x) = 3x² - 4 is a quadratic function

• true

• false

A parabola has its maximum point at (-1, 49) The y-intercept is (0, 40)

What is its equation?

• f(x) = -9x² + 18x +40

• f(x) = 9x² + 18x - 40

• f(x) = 9x² - 18x +40

• f(x) = -9x2 -18x + 40

Write the equation for a parabola that has the x-intercepts of x=2 and x=4 and goes through the point (0, -4).

Practice Problem 4

use y instead of f(x)

Mathematical Equivalence

ON

The graph shows a parabola and it's focus. Write the equation in vertex form.

• $x=\frac{1}{20}\left(y+2\right)^2+8$

• $x=\frac{1}{20}\left(y-2\right)^2+3$

• $x=\frac{1}{20}\left(y+2\right)^2+3$

• $y=\frac{1}{20}\left(x-3\right)^2-2$