Vertex Form of Quadratics

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Tags

CCSS.HSF-IF.C.7A

The vertex form of a quadratic function is y = a(x-h)²+ k . The "a" value represents...

• The vertical stretch, which is how the parabola rises one unit to the right of the vertex

• The axis of symmetry, which is the line that cuts the parabola in half

• The x-coordinate of the vertex, which will always appear opposite in the formula

• The y- coordinate of the vertex

The vertex form of a quadratic function is y = a(x-h)²+ k . The "h" value represents... *Choose 2 answers that apply.

• The vertical stretch, which is how the parabola rises one unit to the right of the vertex

• The axis of symmetry, which appears opposite in the formula and represents the vertical line that cuts the parabola in half

• The x-coordinate of the vertex, which will always appear opposite in the formula

• The y- coordinate of the vertex

The vertex form of a quadratic function is y = a(x-h)²+ k . The "k" value represents...

• The vertical stretch, which is how the parabola rises one unit to the right of the vertex

• The axis of symmetry, which is the line that cuts the parabola in half

• The x-coordinate of the vertex, which will always appear opposite in the formula

• The y- coordinate of the vertex

What is the vertex of this quadratic?

y = -2(x + 5)² + 2

• (2, 5)

• (-5, 2)

• (5, -2)

• (-5, -2)

What is the vertical stretch of this function?

y = -2(x + 5)² + 2

• $\frac{a}{1}=\frac{-2}{1}$

• $\frac{a}{1}=\frac{2}{1}$

• $\frac{a}{1}=\frac{1}{2}$

• $\frac{a}{1}=\frac{5}{1}$

If the vertex for this quadratic is (-5, 2) and the vertical stretch is -2/1, what is the graph of this parabola?

y = -2(x + 5)² + 2

• 
• 
• 
• 

What is the vertex of this quadratic?

• (-2, 1)

• (2, -1)

• (-2, -1)

• (2, 1)

What is the vertical stretch of this parabola? Hint: move one unit to the right of the vertex and find how many units you have to rise to get back on the parabola.

• the vertical stretch is 2, because if you go 1 unit to the right of the vertex, you have to rise 2 units to be back on the graph

• the vertical stretch is 1, because if you go 1 unit to the right of the vertex, you have to rise 1 unit to be back on the graph

• the vertical stretch is 11, because if you go 1 unit to the right of the vertex, you have to rise down 1 unit to be back on the graph

Which of the following is the correct equation for the given graph? Hint: Find the vertex on the graph, then insert the "h" and "k" values in the formula. Remember "h" appears opposite in the formula.

• y = (x - 2)² - 1

• y = (x + 2)² - 1

• y = -(x + 2)² - 1

• y = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A