Graphing Quadratics

Front

What is the axis of symmetry for the quadratic function f(x) = x^2 - 8x + 15?

Back

x = 4

Front

Identify the values of a, b, and c in the equation 3x^2 + 4 = 5x.

Back

a = 3, b = -5, c = 4

Front

Does the equation Y = -3x^2 + 7x - 2 open up or down?

Back

down

Tags

CCSS.HSF-IF.C.7A

Front

What is the formula for finding the axis of symmetry of a quadratic function?

Back

x = \frac{-b}{2a}

Front

What is the y-intercept of the parabola represented by the equation?

Back

(0, 5)

Tags

CCSS.HSF-IF.C.7A

Front

Define a quadratic function.

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What does the coefficient 'a' indicate about the direction of a parabola?

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Tags

CCSS.HSF-IF.C.7A

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula (h, k) where h = \frac{-b}{2a} and k = f(h).

Front

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

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

Tags

CCSS.HSA-REI.B.4B