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  2. Completing the square - Wikipedia

    en.wikipedia.org/wiki/Completing_the_square

    Given a quadratic polynomial of the form + the numbers h and k may be interpreted as the Cartesian coordinates of the vertex (or stationary point) of the parabola. That is, h is the x -coordinate of the axis of symmetry (i.e. the axis of symmetry has equation x = h ), and k is the minimum value (or maximum value, if a < 0) of the quadratic ...

  3. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    Given a general quadratic equation of the form ⁠ + + = ⁠, with ⁠ ⁠ representing an unknown, and coefficients ⁠ ⁠, ⁠ ⁠, and ⁠ ⁠ representing known real or complex numbers with ⁠ ⁠, the values of ⁠ ⁠ satisfying the equation, called the roots or zeros, can be found using the quadratic formula,

  4. Quadratic function - Wikipedia

    en.wikipedia.org/wiki/Quadratic_function

    To convert the standard form to factored form, one needs only the quadratic formula to determine the two roots r 1 and r 2. To convert the standard form to vertex form, one needs a process called completing the square. To convert the factored form (or vertex form) to standard form, one needs to multiply, expand and/or distribute the factors.

  5. Quadratic equation - Wikipedia

    en.wikipedia.org/wiki/Quadratic_equation

    Figure 1. Plots of quadratic function y = ax 2 + bx + c, varying each coefficient separately while the other coefficients are fixed (at values a = 1, b = 0, c = 0). A quadratic equation whose coefficients are real numbers can have either zero, one, or two distinct real-valued solutions, also called roots.

  6. Parent function - Wikipedia

    en.wikipedia.org/wiki/Parent_function

    For linear and quadratic functions, the graph of any function can be obtained from the graph of the parent function by simple translations and stretches parallel to the axes. For example, the graph of y = x 2 − 4x + 7 can be obtained from the graph of y = x 2 by translating +2 units along the X axis and +3 units along Y axis. This is because ...

  7. Which other presidents have pardoned relatives? Trump is on ...

    www.aol.com/other-presidents-pardoned-relatives...

    WASHINGTON − President Joe Biden’s pardon of his son Hunter Biden, who was convicted of federal gun charges and tax evasion, rocked the political world with Republican lawmakers and President ...

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