Equivalent Quadratics

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

What is the arrow pointing at? How can you use this value to determine the minimum/maximum values?

• The arrow is pointing at the y-intercept. 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

• 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 y value is equivalent to the minimum/maximum

Which expression is equivalent to -10x² - 7x + 12

• -1(2x+3)(5x+4)

• -1(2x-3)(5x+4)

• -1(2x+3)(5x-4)

• -1(2x-2)(5x+6)

Which expression is equivalent to x²-4x-21

• (x-7)(x+3)

• (x+7)(x-3)

• (x+7)(x+3)

• (x-7)(x-3)

f(x) = (a)   x² + ​​ (b)   x + ​ ​ (c)  

• a

• b

• c

• d

• x

Match the following forms of equations with their correct descriptions.

• Vertex form of a quadratic equation

• y = a(x - h)² + k

• Standard form of a quadratic equation

• y = ax² + bx + c

• Slope-intercept form of a linear equation

• y = mx + b

Answer explanation

The correct choice is y = a(x - h)^2 + k, which represents the vertex form of a quadratic equation with the vertex at (h, k).

Which of the following represents a quadratic function?

Factor 9x²-24x+16

• (3x+4)(3x-4)

• (3x-4)²

• (3x+4)²

• The expression is prime

Which expression is equivalent to 2x² +4x + 3

• (2x+ 1)(x+3)

• (2x+1)(x-3)

• (2x-1)(x+3)

• none of these