(Lesson Check) 3.4 and 3.5 The Factored Form of Quadratics

Label the following in the graph:

a

b

d

c

e

vertex

axis of symmetry (AOS)

root/x-intercept right

y-intercept

root/x-intercept left

Tags

CCSS.HSF-IF.C.7A

What is the equation for the graph?

• y = (x-5)(x-3)

• y = - (x-5)(x-3)

• y = - (x+5)(x+3)

• y = - x²+8x+15

Tags

CCSS.HSF-IF.C.7A

What is the equation to the graph?

• y=(x-5)(x-4)

• y=(x+5)(x+4)

• y=x²-20x-9

• y=(x-5)²

Tags

CCSS.HSF-IF.C.7A

 $\left(2x-1\right)\left(3x+4\right)$  

Find the equivalent expression.  

•  $6x^2-5x-4$  

•  $6x^2+5x-4$  

•  $6x+11x+4$  

•  $6x+5x-4$  

•  $6x^2-11x-4$  

Tags

CCSS.HSA.APR.A.1

Change the quadratic equation from factored form to standard form:

(x + 3)(x - 2)

• x² + 6x + 5

• x² -5x + 6

• 6x²+ 6

• x² + x - 6

Tags

CCSS.HSA.APR.A.1

Change the quadratic equation from factored form to standard form:

(2x + 4) (2x + 9)

• $4x^2+36x+36$

• $4x^2+18x+36$
  

• $x^2+36x+36$
  

• $4x^2+18x+13$

Tags

CCSS.HSA.APR.A.1

Change the quadratic equation from factored form to standard form:

(4p+5) (6p+8)

•  $24p^2+60p+40$ 
  

•  $24p^2+62p+40$  
  

•  $6p^2+62p+13$  
  

•  $5m^2+19m\ -\ 15$  
  

Tags

CCSS.HSA.APR.A.1

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

If a parabola opens upward and has x - intercepts at (3,0) and (-9,0), what is the equation?

• y = a(x - 3)(x - 9)

• y = a(x - 3)(x + 9)

• y = a(x - 3)(x - 9)

• y = a(x - 3)(x + 9)

Tags

CCSS.HSF-IF.C.7A