Forms of the Quadratic Function

What information can I find from this form of the equation?

• x-intercepts: (9, 0)(10,0)

• y-intercept: (0, 19)

• vertex: (9, 10)

Tags

CCSS.HSF-IF.C.7A

What information can I find from this form of the equation?

• x-intercepts: (8, 0)(11, 0)

• y-intercept: (0, 11)

• vertex: (8, 11)

Tags

CCSS.HSF-IF.C.7A

What information can I find from this form of the equation? f(x ) = (x - 5)2 + 8

• x-intercepts: (5, 0)(8, 0)

• y-intercept: (0, 5)

• vertex: (5, 8)

What information can I find from this form of the equation? f(x ) = x² - 5x + 12

• x-intercepts: (-5, 0)(12, 0)

• y-intercept: (0, 12)

• vertex: (-5, 12)

What can we find easily in vertex form?

• vertex

• y-intercept

• zeros/x-intercepts

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

What form is the following equation written in?
y = 2(x - 2)² + 4

• Standard

• Vertex

• Factored

• Linear

What form is the quadratic equation written in?
y = (x - 2)(x + 4)

• Factored

• Standard

• Vertex

• Descending Polynomial

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

• -a

• -b/a

• b/2a

• -b/2a

Which of the following equations shows the vertex form of a quadratic?

• x = -b/2a

• x = (-b ±√b² - 4ac)/2a

• y = ax² + bx + c

• y = a(x - h)² + k