Quadratic practice

Front

To solve by completing the square, what needs to be moved in the equation x² = 9 - 4x?

Back

The -4x needs to be moved.

Tags

CCSS.HSA-REI.B.4B

Front

Write an equation to represent a baseball thrown from a height of 5 feet with an initial velocity of 24 feet per second at an angle above the horizontal.

Back

y = -16x² + 24x + 5.

Front

What is the maximum height of the arrow represented by the equation h = -16t² + 80t + 25?

Back

The maximum height is h = 125 feet.

Front

What must you do to the 'b' value to correctly complete the square?

Back

Divide it by 2 and square the result.

Tags

CCSS.HSA-REI.B.4B

Front

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

Back

The vertex is (-5, -4).

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

What does the 'a' value in a quadratic equation determine?

Back

The 'a' value determines the direction and width of the parabola.

Tags

CCSS.HSF-IF.C.7A

Front

How do you find the axis of symmetry for a quadratic equation in standard form?

Back

The axis of symmetry is given by x = -b/(2a).

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the number of real solutions.

Tags

CCSS.HSA-REI.B.4B