Quadratic Graphs - Identify traits

Enter the quadratic function into desmos.com (graphing calculator) then analyze the graph. f(x) = -x²

^Vertex: ​ (a)   ^{Axis of symmetry:} ​ (b)  

^{Max or min:} ​ (c)   ^Zero(s): ​ (d)  

^Opens:​ (e)   ​

• down
• up
• (0, 0)
• (2, 4)
• x = 0
• y = 0
• max
• min

Tags

CCSS.MATH.CONTENT.HSA.REI.B.4

Enter the quadratic function into desmos.com (graphing calculator) then analyze the graph. f(x) = 3x²

^Vertex: ​ (a)   ^{Axis of symmetry:} ​ (b)  

^{Max or min:} ​ (c)   ^Zero(s): ​ (d)  

^Opens:​ (e)   ​

• down
• up
• (0, 0)
• (2, 4)
• x = 0
• y = 0
• max
• min

Tags

CCSS.MATH.CONTENT.HSA.REI.B.4

Given the quadratic function, provide its factored form: f(x) = 3x²

• cannot factor

• (x - 3) = 0

• x(x - 3) = 0

• (x - 3)(x - 1) = 0

Given the quadratic function, provide its factored form: f(x) = -x²

• cannot factor

• (x - 1) = 0

• x(x - 1) = 0

• (x + 1)(x - 1) = 0

Given the quadratic function, provide its factored form: f(x) = x² - 7x + 12

• cannot factor

• (x - 4)(x - 3) = 0

• (x - 2)(x - 5) = 0

• (x + 6)(x - 1) = 0

Given the quadratic function, provide its factored form: f(x) = -2x² - 8x - 9

• cannot factor

• (-x - 3)(2x + 3) = 0

• (x - 4)(x+ 2) = 0

• (2x - 3)(x - 1) = 0

Given the quadratic function, name the following parts: f(x) = 3x²

• 0

• a =

• 0

• b =

• 3

• c =

Given the quadratic function, name the following parts: f(x) = -2x² - 7x - 9

• -9

• b =

• -2

• c =

• -7

• a =

Given the quadratic function, name the following parts: f(x) = x² - 7X + 12

• 12

• a =

• 1

• b =

• -7

• c =

Given the quadratic function, name the following parts: f(x) = -x²

• -1

• c =

• 0

• b =

• 0

• a =