Graphing Parabolas standard form

Front

What is the vertex of the parabola represented by the equation y=x²+4x+3?

Back

(-2,-1)

Front

What is the y-intercept of the parabola represented by the equation y=x²+4x+3?

Back

(0,4)

Front

What point does the axis of symmetry of a parabola pass through?

Back

Vertex

Front

What are the zeros of the parabola represented by the equation y=x²+4x+3?

Back

x=0 and x=-4

Front

Which of the following equations is in standard form of a quadratic? y = ax² + bx + c, y = mx + b, y = a(x - h)² + k, ax + by = c

Back

y = ax² + bx + c

Front

What is the standard form of a quadratic equation?

Back

y = a(x - h)² + k

Front

How do you find the vertex from the standard form of a quadratic equation?

Back

The vertex is at the point (h, k) in the equation y = a(x - h)² + k.

Front

What does the 'a' in the standard form of a quadratic equation indicate?

Back

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

Front

What is the axis of symmetry for the parabola y = ax² + bx + c?

Back

x = -b/(2a)

Front

How can you determine the direction of a parabola?

Back

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