Quadratics

What is the standard form of a quadratic equation?

• $y=Ax^2+Bx+C$

• $y=mx+b$

• $y=a\left(x-p\right)\left(x-q\right)$

• $y=a\left(x-h\right)^2+k$

What is the vertex form of a quadratic equation?

• $y=Ax^2+Bx+C$

• $y=mx+b$

• $y=a\left(x-p\right)\left(x-q\right)$

• $y=a\left(x-h\right)^2+k$

 What is the vertex of $y=a\left(x-h\right)^2+k$ ?

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum
• opens up with a minimum
• opens down with a maximum
• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A

Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3

• Minimum value, because the a value is positive
• Maximum value, because the b value is positive
• Maximum value, because the a value is positive
• Minimum value, because the c value is negative

What is the arrow pointing at? How can you use this value?

• The arrow is pointing at the y-intercept. The x-value is the axis of symmetry and the y-value of this point is equivalent to the maximum/minimum 
• The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum and the y-value is the axis of symmetry
• The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum
• The arrow is pointing at the vertex. The x-value is the axis of symmetry and the y-value is equivalent to the minimum/maximum

Factor completely
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Factor completely
k²+7x+10

• (k+2)(k+5)
• (k-2)(k-5)
• (k+10)(k+4)
• (k+2)(k-5)

Factor completely
k²+7x+10

• (k+2)(k+5)
• (k-2)(k-5)
• (k+10)(k+4)
• (k+2)(k-5)

Factor completely

n² + 16n + 63