Write Equations Given the Vertex, TEKS A.6B(S)

In Vertex form, f(x) = a(x - h)²+ k, what does the h stand for?

• the y-coordinate of the vertex
• the x-coordinate of the vertex
• the x-intercept
• the y-intercept

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

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Which equation has a vertex of (-3, 4)?

• y = (x + 3)² + 4

• y = (x + 3)² - 4

• y = (x - 3)² + 4

• y = (x - 3)² - 4

A parabola has a vertex at (1,6) and passes through (3,-18). Write the equation in vertex form.

Formula: f(x) = a(x - h)² + k

• f(x) = 3(x - 1)² - 18

• f(x) = -6(x - 1)² + 6

• f(x) = 6(x - 3)² - 18

• f(x) = -3(x + 1)² - 6

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

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Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

• y = 6(x + 5)² + 9
• y = -6(x - 5)² + 9
• y = 6(x - 5)² + 9
• y = -6(x + 5)² + 9

Write the equation of the quadratic function that has a x-intercepts at (2, 0) and (4, 0) and passes through the point (3, 4).

• y = -4(x - 2)(x - 4)

• y = -4(x + 2)(x + 4)

• y = 4(x - 2)(x - 4)

• y = -0.25(x - 2)(x - 4)

Write the equation of the quadratic function that has a vertex of (4,-1) and passes through the point (8, 3).

• y = 1/4(x - 4)² - 1
• y = 4(x - 4)² - 1
• y = 4(x + 4)² - 1
• y = 1/4(x + 4)² - 1

Which of the following quadratics has a vertex at (4, 5) and goes through the point (7, 95)?

• y=10(x-4)²+5

• y=10(x+4)²+5

• y=7(x-4)²-5

• y=7(x-4)²+5

Write the equation for the quadratic that goes through the point (18, 175) and has a vertex of (5, 6).

• Y=(x-5)²+6

• Y=2(x+5)²-6

• Y=(x+5)²-6

• Y=2(x-5)²+6