Intro to Quadratic Equation

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 

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

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

Find the axis of symmetry for
f(x) = x²- 8x + 15.

• x = -4

• x = 4

• y = 4

• y = -4

Identify number 3 on the graph

• Vertex

• Range

• Axis of Symmetry

• Domain

Complete the quadratic formula in the diagram shown given that a quadratic equation is in standard form a x^2 + b x + c = 0,

a

b

c

The points at which a parabola intersects the x-axis are the ________________.

• quadratic roots

• vertex

• axis of symmetry

• asymptotes

• factors

The ____________ is used to determine the number of solutions to a quadratic equation.

If the discriminant is positive, d ​ (a)   0, then there are ​ (b)   real solutions.

If the discriminant is zero, d ​ (c)   0, then there is ​ (d)   real solution.

If the discriminant is negative, d ​ (e)   0, then there are no real solutions.

• >
• 2
• =
• 1
• <
• 0
• 3
• ≧
• ≦

Order the following steps for solving quadratic equations by factoring.

• Set the quadratic equation equal to zero.

• Factor the left side.

• Set each factor equal to zero, and solve each for the variable.

• Write the answer using curly braces in set notation.

Reorder the following steps to solve a quadratic equation by using the quadratic formula.

• Make sure the equation is

  set equal to 0 and written

  in standard form.

  ax² + bx + c = 0

• Identify a, b, and c.

• Substitute these values

  into the formula

• Simplify using the order of operations

  (PEMDAS)

• Write the answer using curly braces in set notation