Algebra 2 Unit 4 Test Flashcards
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Questions and Answers

What is the standard form of a quadratic?

ax^2 + bx + c

What is the formula for the axis of symmetry?

-b/2a

What is the expression for the vertex of standard quadratic form?

-b/2a

What is the vertex form of a quadratic?

<p>f(x)=a(x-h)+k</p> Signup and view all the answers

What are the coordinates of the vertex in vertex form?

<p>h, k</p> Signup and view all the answers

What is the quadratic formula?

<p>-b(±)√(b^2-4ac)/2a</p> Signup and view all the answers

What is the discriminant in a quadratic equation?

<p>b^2 - 4ac</p> Signup and view all the answers

How do you find the x-intercept (roots/zeros)?

<p>Set y to 0</p> Signup and view all the answers

How do you find the y-intercept?

<p>Set x to 0</p> Signup and view all the answers

What are zeros or roots in a quadratic equation?

<p>X-intercepts</p> Signup and view all the answers

Study Notes

Quadratic Equations

  • Standard form of a quadratic equation is represented as ( ax^2 + bx + c ).
  • The axis of symmetry for a quadratic function can be calculated with the formula ( -\frac{b}{2a} ), determining the line that divides the parabola into two mirror images.

Vertex Information

  • To find the vertex of a quadratic in standard form, use the x-coordinate found with ( -\frac{b}{2a} ).
  • The vertex form of a quadratic is given by ( f(x) = a(x - h) + k ), where ( (h, k) ) represents the vertex of the parabola.

Quadratic Formula and Discriminant

  • The quadratic formula, used to find the roots of a quadratic equation, is written as ( -\frac{b \pm \sqrt{b^2 - 4ac}}{2a} ).
  • The discriminant ( b^2 - 4ac ) helps determine the nature of the roots of the quadratic equation; it reveals how many and what type of solutions exist based on its value.

Finding Intercepts

  • To find the x-intercepts (roots/zeroes), set ( y ) to 0 and solve for ( x ).
  • The y-intercept can be found by setting ( x ) to 0, providing the point where the graph crosses the y-axis.

Zeros and Roots

  • Zeros or roots of a quadratic function are synonymous with x-intercepts, indicating where the function evaluates to zero on the graph.

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Prepare for your Algebra 2 Unit 4 test with these flashcards covering key concepts related to quadratics. Learn critical terms like the quadratic formula, vertex form, and axis of symmetry to boost your understanding and performance on the test.

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