M1 Unit 7 Quadratics Review

Find the axis of symmetry for

f(x) = x²- 8x + 15. (Hint: the x-value of the vertex)

• x = -4

• x = 4

• y = 4

• y = -4

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Factor: x² - 225

• ( x + 15) ( x + 15)

• Prime

• ( x - 15) ( x + 15)

• ( x - 15) ( x - 15)

What are the x- intercepts?
These are also known as the roots, zeroes and solutions!! 
These are the points where the parabola goes through the X - AXIS

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSF-IF.C.7A

Factor: x² + 24x + 144

• (x + 12)²
• (x + 9)²
• (x + 15)²
• (x + 13)²

Tags

CCSS.HSA.APR.C.4

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Solve: $25x^2+1=10$

• $x=\frac{3}{5}$

• $x=\pm\sqrt{\frac{11}{25}}$

• $x=\pm i\sqrt{14}$

• $x=\pm\frac{3}{5}$

Solve:  $6x^2=3-7x$  

•  $\left\{-2,\ 9\right\}$  

•  $\left\{-9,\ 2\right\}$  

•  $\left\{-\frac{3}{2},\frac{1}{3}\right\}$  

•  $\left\{-\frac{1}{3},\frac{3}{2}\right\}$  

Write the quadratic equation from the graph in standard form. (Hint: find 3 points and use STAT, EDIT in the calculator or use Desmos to graph each choice and choose the one that matches)

• $y=\frac{1}{2}x^2-4x+6$

• $y=-\frac{1}{2}x^2-4x+6$

• $y=2x^2-16x+24$

• $y=2x^2-16x-24$

Which function is represented by this graph?  (Hint: find 3 points and use STAT, EDIT in the calculator or use Desmos to graph each choice and choose the one that matches)

•  $y=\left(x-3\right)^2+1$  

•  $y=\left(x+3\right)^2+1$  

•  $y=\left(x-3\right)^2-1$  

•  $y=\left(x+3\right)^2-1$